All questions
Question 1
A rectangular warehouse measures 180 feet by 240 feet. What is the total floor area in square feet?
- 43,200 square feet (correct answer)
- 420 square feet
- 840 square feet
- 21,600 square feet
Explanation: 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.
Question 2
A circular lot has a diameter of 200 feet. What is the approximate area of this lot in square feet?
- 31,416 square feet (correct answer)
- 62,832 square feet
- 15,708 square feet
- 125,664 square feet
Explanation: 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.
Question 3
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?
- 9,600 square feet
- 4,800 square feet (correct answer)
- 2,400 square feet
- 3,200 square feet
Explanation: 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.
Question 4
A property contains 2.5 acres. How many square feet does this property contain?
- 108,900 square feet (correct answer)
- 130,680 square feet
- 87,120 square feet
- 17,424 square feet
Explanation: 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.
Question 5
A lot frontage of 165 feet and a depth of 264 feet creates how many square feet of area?
- 43,560 square feet (correct answer)
- 429 square feet
- 858 square feet
- 21,780 square feet
Explanation: 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.
Question 6
A rectangular lot measures 90 feet wide by 145 feet deep. How many acres does this lot contain?
- 0.30 acres (correct answer)
- 0.15 acres
- 0.60 acres
- 0.45 acres
Explanation: 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.
Question 7
A square lot contains 2.25 acres. What is the length of each side in feet?
- 313.07 feet (correct answer)
- 156.54 feet
- 626.14 feet
- 208.71 feet
Explanation: 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.
Question 8
A lot measures 726 feet by 60 feet. How many acres does this represent?
- 1.0 acres (correct answer)
- 0.5 acres
- 1.5 acres
- 2.0 acres
Explanation: 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.
Question 9
A lot measuring 0.5 acres has a frontage of 181.5 feet. What is the depth of this lot?
- 120 feet of lot depth measurement (correct answer)
- 240 feet of lot depth measurement
- 60 feet of lot depth measurement
- 363 feet of lot depth measurement
Explanation: 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.
Question 10
A developer purchases a tract containing 217,800 square feet. How many acres did the developer purchase?
- 5.0 acres (correct answer)
- 4.5 acres
- 6.0 acres
- 3.5 acres
Explanation: 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.
Question 11
A lot measuring 87,120 square feet is how many acres?
- 2.0 acres (correct answer)
- 1.5 acres
- 2.5 acres
- 3.0 acres
Explanation: 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.
Question 12
A rectangular building lot is 75 feet wide and contains 0.75 acres. What is the depth of this lot?
- 436 feet (correct answer)
- 581 feet
- 327 feet
- 654 feet
Explanation: 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.
Question 13
A property frontage measures 132 feet along the street. If the lot contains exactly 1 acre, what is the depth of the lot?
- 330 feet (correct answer)
- 264 feet
- 396 feet
- 198 feet
Explanation: One acre = 43,560 square feet. Depth = Area ÷ Width = 43,560 ÷ 132 = 330 feet. Choice B uses an incorrect calculation method. Choice C incorrectly adds values instead of dividing. Choice D incorrectly divides the correct answer by 2.
Question 14
A triangular corner lot has a base of 200 feet and a height of 150 feet. What is the area in square feet?
- 15,000 square feet (correct answer)
- 30,000 square feet
- 350 square feet
- 7,500 square feet
Explanation: 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.
Question 15
A farm contains 160 acres. How many square feet does this farm contain?
- 6,969,600 square feet (correct answer)
- 272.25 square feet
- 3,484,800 square feet
- 13,939,200 square feet
Explanation: 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.
Question 16
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?
- 2.0 acres for tax assessment (correct answer)
- 1.0 acres for tax assessment
- 3.0 acres for tax assessment
- 4.0 acres for tax assessment
Explanation: 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.
Question 17
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?
- 24,600 square feet (correct answer)
- 15,000 square feet
- 9,600 square feet
- 18,000 square feet
Explanation: 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.
Question 18
A square lot contains 43,560 square feet. What is the length of each side of this square lot?
- 208.7 feet (correct answer)
- 174.2 feet
- 261.4 feet
- 130.7 feet
Explanation: 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.
Question 19
A property measuring 1,320 feet by 1,320 feet contains how many acres?
- 40 acres (correct answer)
- 20 acres
- 80 acres
- 60 acres
Explanation: 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.
Question 20
A rectangular parking lot is 300 feet long and 180 feet wide. How many acres does this parking lot occupy?
- 1.24 acres of parking lot area (correct answer)
- 0.62 acres of parking lot area
- 2.48 acres of parking lot area
- 0.83 acres of parking lot area
Explanation: Calculate area: 300 × 180 = 54,000 square feet. Convert to acres: 54,000 ÷ 43,560 = 1.24 acres. Choice B incorrectly divides the correct answer by 2. Choice C incorrectly doubles the correct answer. Choice D uses incorrect conversion factor of 65,060.