Texas Real Estate Math: Area Calculations (2026 TREC Exam)

TL;DR

Area calculations are one of the most common math topic categories on the TREC Texas Real Estate Sales Agent exam (alongside commission and proration). Most area questions reduce to the same fundamental formula — Area = Length × Width — applied to rectangles, triangles, irregular shapes, and unit conversions between square feet and acres. The most common Texas exam patterns are: (1) square footage of a building or lot, (2) acreage conversion (1 acre = 43,560 sq ft), (3) price-per-square-foot calculations, (4) irregular-shape area by decomposition, and (5) front-foot pricing for waterfront/commercial properties. This article walks through each pattern with worked examples using the same number formats the TREC exam uses, plus the unit-conversion shortcuts that save time on test day.

The Core Formulas

Three formulas cover almost every area question on the TREC exam:

Rectangle area = Length × Width
Triangle area = ½ × Base × Height
Acreage = Total square feet ÷ 43,560

Memorize 43,560 sq ft per acre — it's one of the most frequently tested conversions in real estate math, and you'll use it repeatedly during practice.

Example 1 — basic square footage: A house measures 60 feet by 45 feet. What's the square footage?

• 60 × 45 = 2,700 sq ft

Example 2 — acreage from square feet: A lot is 200 feet by 217.8 feet. What's the acreage?

• Square feet: 200 × 217.8 = 43,560 sq ft
• Acreage: 43,560 ÷ 43,560 = 1.00 acre exactly

(That 217.8 number isn't random — it's deliberately chosen so a 200-foot frontage produces exactly 1 acre. You'll see this trick in TREC questions.)

Pattern 1: Square Footage of a Building

Standard residential and commercial buildings are usually rectangular or close to it. Calculate length × width for each section, then sum.

Example 3 — multi-section house: A house has a main rectangular section measuring 50 ft × 30 ft, plus an attached garage measuring 20 ft × 20 ft. What's the total square footage?

• Main section: 50 × 30 = 1,500 sq ft
• Garage: 20 × 20 = 400 sq ft
• Total: 1,500 + 400 = 1,900 sq ft

Example 4 — multi-story building: A building has a footprint of 40 ft × 60 ft and is 3 stories tall (no basement). What's the total finished square footage?

• Per floor: 40 × 60 = 2,400 sq ft
• Total (3 floors): 2,400 × 3 = 7,200 sq ft

TREC trap to watch for: Some questions ask about "footprint" (just the ground-level area) versus "total finished square footage" (all floors combined). Read the question carefully.

Pattern 2: Lot Size and Acreage Conversions

This is one of the most frequently tested area patterns on the TREC exam. The conversion 1 acre = 43,560 sq ft appears constantly.

Example 5 — square feet to acres: A lot measures 174,240 sq ft. How many acres is it?

• 174,240 ÷ 43,560 = 4.00 acres

Example 6 — acres to square feet: A property is 2.5 acres. How many square feet is that?

• 2.5 × 43,560 = 108,900 sq ft

Example 7 — partial acre lot: A lot is 100 ft × 130 ft. What fraction of an acre is it?

• Square feet: 100 × 130 = 13,000 sq ft
• Acreage: 13,000 ÷ 43,560 = 0.298 acres (approximately 0.30 acres)

Quick reference table for common acreages:

(There are multiple combinations that produce exactly 43,560 sq ft because that number factors many ways. TREC exam writers often use clean divisions.)

Pattern 3: Price Per Square Foot

This pattern combines area math with pricing — common in both residential and commercial questions.

Example 8 — calculating price per square foot: A house sold for $385,000 and has 2,200 sq ft of finished space. What's the price per square foot?

• $385,000 ÷ 2,200 = $175.00 per sq ft

Example 9 — calculating total price from price per sq ft: A commercial property is priced at $42 per sq ft and has 8,500 sq ft. What's the total price?

• 8,500 × $42 = $357,000

Example 10 — comparing two properties: House A: $420,000 for 2,400 sq ft House B: $395,000 for 2,150 sq ft

Which has the better price per square foot for the buyer?

• House A: $420,000 ÷ 2,400 = $175.00/sq ft
• House B: $395,000 ÷ 2,150 = $183.72/sq ft
• House A is better priced per sq ft (lower $/sq ft = better for buyer)

Common exam variation: "What price would House B need to be to match House A's price per sq ft?" → 2,150 × $175 = $376,250

Pattern 4: Irregular-Shape Areas (Decomposition)

When a lot or building isn't a clean rectangle, decompose it into rectangles and triangles, calculate each, and sum.

Example 11 — L-shaped lot: A lot is shaped like an L. The total bounding rectangle would be 100 ft × 150 ft, but a 40 ft × 50 ft notch is missing from one corner. What's the actual lot area?

• Bounding rectangle: 100 × 150 = 15,000 sq ft
• Missing notch: 40 × 50 = 2,000 sq ft
• Lot area: 15,000 − 2,000 = 13,000 sq ft

Example 12 — triangular section: A lot has a rectangular section of 100 ft × 80 ft, with a triangular section attached. The triangle has a base of 100 ft and a height of 30 ft. What's the total area?

• Rectangle: 100 × 80 = 8,000 sq ft
• Triangle: ½ × 100 × 30 = 1,500 sq ft
• Total: 8,000 + 1,500 = 9,500 sq ft

Strategy: When a TREC question describes an irregular shape, sketch it on the scratch materials Pearson VUE provides. Decompose into rectangles and triangles. Don't try to picture it mentally.

Pattern 5: Front-Foot Pricing (Commercial / Waterfront)

Commercial properties on main streets and waterfront properties are sometimes priced per front foot — the linear distance the property faces along the street or water — rather than total square footage.

Example 13 — front-foot pricing: A commercial lot has 80 feet of road frontage and is priced at $1,200 per front foot. What's the total price?

• 80 × $1,200 = $96,000

Example 14 — comparing front-foot to per-sq-ft pricing: A waterfront lot has 100 feet of lake frontage and is 200 feet deep, priced at $2,500 per front foot. What's the implied price per square foot?

• Total price: 100 × $2,500 = $250,000
• Total area: 100 × 200 = 20,000 sq ft
• Price per sq ft: $250,000 ÷ 20,000 = $12.50/sq ft

Front-foot pricing usually reflects the value of access (street frontage, water frontage) rather than land area, so depth doesn't factor in directly.

Pattern 6: Volume (for Buildings, Sometimes Tested)

Less common but appears occasionally for commercial/industrial questions.

Volume = Length × Width × Height

Example 15 — warehouse volume: A warehouse is 100 ft × 80 ft with a 20-ft ceiling. What's the cubic footage?

• 100 × 80 × 20 = 160,000 cubic ft

This typically appears for storage capacity or HVAC sizing questions.

Common TREC Exam Conversions Worth Memorizing

The two you'll use most: 1 acre = 43,560 sq ft, and 1 yard = 3 feet. Memorize these cold.

Common Texas-Specific Wording

The TREC exam uses specific terminology you should recognize:

• "Front foot" — linear distance the property faces a street or waterway. Used for pricing high-frontage properties.
• "Lot dimensions" — usually given as frontage × depth (e.g., "100 × 150" means 100 ft of frontage and 150 ft of depth). Frontage is listed first by convention.
• "Net acreage" — total acreage minus easements, setbacks, and unbuildable land. Subtract from gross acreage when specified.
• "Buildable area" — the portion of a lot you can actually construct on after subtracting setbacks, easements, and protected areas.
• "Square footage" vs "lot size" — square footage usually refers to a building's interior; lot size refers to the land. Read carefully.

Calculator Tips for Test Day

The TREC exam allows a basic calculator. Practical tips for area math:

1. Memorize 43,560. You'll type it repeatedly during practice. Don't waste calculator inputs on the conversion.
2. Sketch every irregular shape. Use the scratch materials Pearson VUE provides. Decompose into rectangles and triangles before picking up the calculator.
3. Check the units. "Square feet" vs "acres" vs "square yards" — TREC questions sometimes give input in one unit and ask for output in another. Convert before multiplying.
4. Round at the END. Carry full precision through intermediate calculations. Round to the nearest cent or square foot only on the final answer, as the question specifies.
5. Read what's being asked. "What's the square footage of the building" is different from "what's the lot size" is different from "what's the price per square foot." All three involve different math.

Practice Problems

Try these without checking the answers first.

Problem 1: A rectangular lot measures 132 ft by 165 ft. What's the acreage?

Problem 2: A house has 2,750 sq ft and sold for $467,500. What's the price per square foot?

Problem 3: An L-shaped lot has a bounding rectangle of 200 ft × 250 ft, with a 60 ft × 80 ft notch missing from one corner. What's the lot area in acres?

Problem 4: A waterfront lot has 75 feet of frontage and is priced at $3,200 per front foot. The lot is 150 feet deep. What's the total price, and what's the implied price per square foot?

Solutions:

1. Square feet: 132 × 165 = 21,780. Acreage: 21,780 ÷ 43,560 = 0.50 acres.
2. $467,500 ÷ 2,750 = $170.00 per sq ft.
3. Bounding rectangle: 200 × 250 = 50,000 sq ft. Notch: 60 × 80 = 4,800 sq ft. Lot area: 50,000 − 4,800 = 45,200 sq ft. Acreage: 45,200 ÷ 43,560 = 1.04 acres.
4. Total price: 75 × $3,200 = $240,000. Total area: 75 × 150 = 11,250 sq ft. Price per sq ft: $240,000 ÷ 11,250 = $21.33 per sq ft.

Frequently Asked Questions

How many area math questions are on the TREC Texas Real Estate Sales Agent exam?

The TREC exam includes a math section with roughly 10 math-related questions out of the 120 scored questions on the national + state portions combined. Area calculations are one of the most common math topics tested (alongside commission and proration), commonly appearing in multiple math questions on most exam forms. The exact mix varies by test form, but you can expect area questions to appear on most administrations.

What's the conversion between square feet and acres?

1 acre equals 43,560 square feet. This is one of the most frequently tested conversions in real estate math. To convert square feet to acres, divide by 43,560. To convert acres to square feet, multiply by 43,560. Memorize this number cold — you'll use it constantly during exam preparation and on the actual test.

How do I calculate price per square foot?

Price per square foot equals total price divided by total square footage. For example, a house priced at $385,000 with 2,200 sq ft has a price per square foot of $385,000 ÷ 2,200 = $175.00. This calculation works for both residential and commercial properties and is one of the most common ways to compare property values in market analyses.

What's the formula for the area of a triangle?

The area of a triangle equals one-half times the base times the height: Area = ½ × Base × Height. So a triangle with a base of 100 feet and a height of 30 feet has an area of ½ × 100 × 30 = 1,500 square feet. The "height" is the perpendicular distance from the base to the opposite vertex, not the slope length of any side.

How do I handle irregular-shaped lots on the exam?

Decompose the irregular shape into rectangles and triangles, calculate the area of each, and sum them. For an L-shaped lot, you can also calculate the area of the bounding rectangle and subtract the missing portion. Pearson VUE provides scratch materials during the exam, so sketch the shape before calculating — always sketch first, even if you think you can picture it. Most exam errors on irregular shapes come from trying to do the math in your head.

What's "front-foot" pricing and when is it used?

Front-foot pricing is when a property is priced per linear foot of street or water frontage rather than per square foot. It's commonly used for commercial properties on busy streets and waterfront lots, where the value depends primarily on access rather than total land area. To calculate total price, multiply the front feet by the price per front foot. The depth of the lot doesn't factor into front-foot pricing directly.

Bottom Line

Area math on the TREC Texas Real Estate exam follows six predictable patterns: building square footage, lot size and acreage, price per square foot, irregular shapes, front-foot pricing, and occasional volume calculations. The core formulas — Area = Length × Width for rectangles and ½ × Base × Height for triangles — handle nearly everything. The most important conversion to memorize is 1 acre = 43,560 sq ft. Practice enough area problems that the major patterns feel automatic before exam day, including unit conversions and irregular-shape decomposition. For the rest of the math cluster, see our guides on commission calculations, proration math, and the Texas exam math overview, plus the broader Texas Real Estate Exam guide and the Texas exam blueprint.

Source: Texas Real Estate Commission (TREC) · TREC Sales Agent Licensing · Pearson VUE Texas Real Estate Content Outlines (#094401)