- A triangular corner lot has a base of 200 feet and a height of 150 feet. What is the area in square feet?
Answer: 15,000 square feet
Triangle area = (base × height) ÷ 2 = (200 × 150) ÷ 2 = 30,000 ÷ 2 = 15,000 square feet. Choice B incorrectly omits dividing by 2. Choice C incorrectly adds base and height. Choice D incorrectly divides the correct answer by 2.
- A lot measuring 87,120 square feet is how many acres?
Answer: 2.0 acres
To convert square feet to acres, divide by 43,560: 87,120 ÷ 43,560 = 2.0 acres. Choice B would result from dividing by 58,080. Choice C would result from dividing by 34,848. Choice D would result from dividing by 29,040.
- A property measuring 1,320 feet by 1,320 feet contains how many acres?
Answer: 40 acres
Calculate square feet: 1,320 × 1,320 = 1,742,400 sq ft. Convert to acres: 1,742,400 ÷ 43,560 = 40 acres. Note that 1,320 feet = 0.25 miles. Choice B incorrectly divides by 2. Choice C incorrectly doubles the answer. Choice D incorrectly multiplies by 1.5.
- A developer purchases a tract containing 217,800 square feet. How many acres did the developer purchase?
Answer: 5.0 acres
To convert square feet to acres, divide by 43,560: 217,800 ÷ 43,560 = 5.0 acres. Choice B would result from dividing by 48,400. Choice C would result from dividing by 36,300. Choice D would result from dividing by 62,229.
- A developer has 10 acres to subdivide into rectangular lots, each measuring 100 feet by 200 feet. What is the maximum number of complete lots possible?
Answer: 21 lots
Total area = 10 × 43,560 = 435,600 sq ft. Each lot = 100 × 200 = 20,000 sq ft. Number of lots = 435,600 ÷ 20,000 = 21.78, so 21 complete lots can be created. Choice B incorrectly uses 10,000 sq ft per lot. Choice C incorrectly assumes 1 lot per acre. Choice D incorrectly uses 2 lots per acre.
- A property contains 2.5 acres. How many square feet does this property contain?
Answer: 108,900 square feet
Since there are 43,560 square feet per acre, multiply: 2.5 acres × 43,560 sq ft/acre = 108,900 square feet. Choice B incorrectly multiplies by 3 instead of 2.5. Choice C incorrectly multiplies by 2. Choice D incorrectly divides 43,560 by 2.5.
- A rectangular building lot is 75 feet wide and contains 0.75 acres. What is the depth of this lot?
Answer: 436 feet
First convert acres to square feet: 0.75 × 43,560 = 32,670 sq ft. Then divide by width to find depth: 32,670 ÷ 75 = 436 feet. Choice B incorrectly uses 43,560 ÷ 75. Choice C incorrectly uses wrong calculation method. Choice D incorrectly doubles the correct answer.
- An L-shaped lot consists of two rectangles. The first rectangle is 100 feet by 150 feet, and the second is 80 feet by 120 feet. What is the total area?
Answer: 24,600 square feet
Calculate each rectangle separately: Rectangle 1: 100 × 150 = 15,000 sq ft. Rectangle 2: 80 × 120 = 9,600 sq ft. Total = 15,000 + 9,600 = 24,600 square feet. Choice B equals only Rectangle 1. Choice C equals only Rectangle 2. Choice D incorrectly uses an average of the two rectangles.
- A lot measuring 0.5 acres has a frontage of 181.5 feet. What is the depth of this lot?
Answer: 120 feet of lot depth measurement
Convert acres to square feet: 0.5 × 43,560 = 21,780 sq ft. Depth = Area ÷ Frontage = 21,780 ÷ 181.5 = 120 feet. Choice B incorrectly doubles the correct answer. Choice C incorrectly divides the correct answer by 2. Choice D incorrectly doubles the frontage instead of calculating depth.
- A farm contains 160 acres. How many square feet does this farm contain?
Answer: 6,969,600 square feet
Multiply acres by 43,560 square feet per acre: 160 × 43,560 = 6,969,600 square feet. Choice B incorrectly divides 43,560 by 160. Choice C incorrectly divides the correct answer by 2. Choice D incorrectly doubles the correct answer.
- A rectangular lot measures 90 feet wide by 145 feet deep. How many acres does this lot contain?
Answer: 0.30 acres
First calculate square feet: 90 × 145 = 13,050 sq ft. Convert to acres: 13,050 ÷ 43,560 = 0.30 acres. Choice B incorrectly divides the correct answer by 2. Choice C incorrectly doubles the correct answer. Choice D incorrectly uses 19,602 ÷ 43,560.
- A square lot contains 43,560 square feet. What is the length of each side of this square lot?
Answer: 208.7 feet
For a square, all sides are equal, so side length = √(area) = √43,560 = 208.7 feet. Choice B incorrectly divides the area by 250. Choice C uses an incorrect square root calculation. Choice D incorrectly divides the area by 333.
- An irregularly shaped lot contains 87,120 square feet. The owner wants to know the equivalent in acres for tax assessment purposes. How many acres is this?
Answer: 2.0 acres for tax assessment
Convert square feet to acres by dividing by 43,560: 87,120 ÷ 43,560 = 2.0 acres exactly. Choice B would result from dividing 43,560 by 43,560. Choice C would result from dividing 130,680 by 43,560. Choice D would result from dividing 174,240 by 43,560.
- A lot measures 726 feet by 60 feet. How many acres does this represent?
Answer: 1.0 acres
Calculate area: 726 × 60 = 43,560 square feet. Convert to acres: 43,560 ÷ 43,560 = 1.0 acre exactly. Choice B incorrectly divides by 2. Choice C incorrectly multiplies by 1.5. Choice D incorrectly doubles the answer.
- A circular lot has a diameter of 200 feet. What is the approximate area of this lot in square feet?
Answer: 31,416 square feet
Area of a circle = π × r². Radius = diameter ÷ 2 = 100 feet. Area = 3.1416 × 100² = 3.1416 × 10,000 = 31,416 square feet. Choice B incorrectly uses diameter instead of radius. Choice C incorrectly divides the correct answer by 2. Choice D incorrectly uses diameter squared.
- A rectangular lot measures 150 feet by 200 feet. What is the total square footage of this lot?
Answer: 30,000 square feet
To calculate square footage of a rectangle, multiply length × width: 150 feet × 200 feet = 30,000 square feet. Choice B incorrectly divides the correct answer by 2. Choice C incorrectly adds the dimensions (150 + 200 = 350). Choice D incorrectly finds the average of the dimensions (150 + 200 ÷ 2 = 175).
- A lot frontage of 165 feet and a depth of 264 feet creates how many square feet of area?
Answer: 43,560 square feet
Area = frontage × depth = 165 feet × 264 feet = 43,560 square feet (exactly 1 acre). Choice B incorrectly adds the dimensions (165 + 264 = 429). Choice C incorrectly doubles the sum. Choice D incorrectly divides the correct answer by 2.
- A square lot contains 2.25 acres. What is the length of each side in feet?
Answer: 313.07 feet
Convert acres to square feet: 2.25 × 43,560 = 98,010 sq ft. For a square, side length = √98,010 = 313.07 feet. Choice B incorrectly divides the correct answer by 2. Choice C incorrectly doubles the correct answer. Choice D uses the square root of 1 acre instead of 2.25.
- A rectangular warehouse measures 180 feet by 240 feet. What is the total floor area in square feet?
Answer: 43,200 square feet
Area = length × width = 180 feet × 240 feet = 43,200 square feet. Choice B incorrectly adds the dimensions (180 + 240 = 420). Choice C incorrectly doubles the sum of dimensions. Choice D incorrectly divides the correct answer by 2.
- A triangular lot has a base of 120 feet and a height of 80 feet. What is the area of this lot in square feet?
Answer: 4,800 square feet
The area of a triangle is calculated as: Area = (base × height) ÷ 2 = (120 × 80) ÷ 2 = 9,600 ÷ 2 = 4,800 square feet. Choice A incorrectly omits dividing by 2. Choice C incorrectly divides by 4 instead of 2. Choice D uses an incorrect formula.
