Grade 4 Math Practice Test: Area and Perimeter Formulas
- Area and Perimeter Formulas
- 10 questions
- 12 minutes
These questions use the formulas area = length × width and perimeter = 2 × length + 2 × width. Tip: area is in square units and perimeter is in plain units, so check the units in the question.
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Question 1
A rectangle is 12 cm long and 7 cm wide. What is its area?
Correct answer: A
Area = length × width = 12 × 7 = 84 square centimeters. 38 is the perimeter.
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Question 2
A rectangle is 12 cm long and 7 cm wide. What is its perimeter?
Correct answer: B
Perimeter = 12 + 7 + 12 + 7 = 38 cm. 19 adds only one length and one width.
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Question 3
A rectangular rug has an area of 72 square feet. It is 8 feet wide. How long is it?
Correct answer: D
Area = length × width, so length = 72 ÷ 8 = 9 feet. 64 subtracts 8 from 72 instead of dividing.
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Question 4
A rectangular garden has a perimeter of 50 meters. Its length is 15 meters. What is its width?
Correct answer: C
Two lengths are 2 × 15 = 30 m, which leaves 50 - 30 = 20 m for the two widths, so each width is 10 m. 20 m is both widths together.
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Question 5
A square tile has sides that are 9 inches long. What is its area?
Correct answer: B
Area of a square = side × side = 9 × 9 = 81 square inches. 36 is the perimeter of the tile.
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Question 6
A square has a perimeter of 44 cm. How long is each side?
Correct answer: A
A square has 4 equal sides, so each side is 44 ÷ 4 = 11 cm. 22 cm divides by 2, as if the square had only 2 sides.
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Question 7
A garden is 20 feet long and 15 feet wide. How many feet of fence are needed to go all the way around it?
Correct answer: D
Going around the garden means perimeter: 20 + 15 + 20 + 15 = 70 feet. 300 is the area, which measures the inside, not the edge.
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Question 8
A floor is 9 feet wide and 12 feet long. It is covered with square tiles that are 1 foot on each side. How many tiles cover the floor?
Correct answer: C
Each tile covers 1 square foot, so count the area: 9 × 12 = 108 tiles. 42 is the perimeter of the floor.
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Question 9
Rectangle A is 6 m by 8 m. Rectangle B is 4 m by 12 m. Which statement is true?
Correct answer: B
Both areas are 48 square meters (6 × 8 and 4 × 12). The perimeters are 28 m for A and 32 m for B, so B has the larger perimeter.
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Question 10
A rug that is 5 feet by 8 feet lies on a floor that is 10 feet by 12 feet. How many square feet of the floor are not covered by the rug?
Correct answer: D
Floor area = 10 × 12 = 120 square feet, rug area = 5 × 8 = 40 square feet, and 120 - 40 = 80 square feet. 40 is the rug itself.
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