Area Review Problems

The side of a square is 12 feet. What is the area of the square?

• 12 sq. ft.

• 24 sq. ft.

• 48 sq. ft.

• 144 sq. ft.

The job to a tile room 8 ft x 12 ft with 1 ft. square tiles. How many tiles does she need?

• 20 tiles

• 96 tiles

• 100 tiles

• 288 tiles

A side of CJ’s dog fence needs to be replaced. She knows that the total area of the pen is 88 sq ft. How long is the fence that needs to be replaced?

• a. 6 ft

• b. 8 ft

• c. 11 ft

• d. 80 ft

Gianna's rectangular sandbox has an area of 24 square feet. If the length of her sandbox is six feet, what is the width of her sandbox?

• a. Two feet

• b. Four feet

• c. Six feet

• d. Eight feet

Which rectangle has the greater area?

• a. Both rectangles have same area of 6 ft².

• b. The black rectangle's area is greater because it is taller.

• c. The green rectangle's area is greater because it looks more like a square.

• d. The black rectangle's area is greater at 14 ft². The green rectangle's area is only 10 ft².

The area of a triangle is 384 square feet. If the base is 8 feet longer than the height, find the measurement of the base and the height. (A = ½bh)

• h = 24 ft and b = 32 ft

• h = 32 ft and b = 24 ft

• h = 32 ft and b = 40 ft

• h = 40 ft and b = 32 ft

Joe wants to make a path around the outside of his garden, which is 50’ x 70’. If the path is of uniform width and the entire garden and path combined are to cover 4524 square feet, how wide should the path be?

• 4 feet

• 8 feet

• 58 feet

• 78 feet

The original plan for Mr. Harris’s house is a rectangle that measures 40’ x 50’. Because of an increase in cost, the square footage of the house must be decreased to 1739 square feet. To do this, the length and width will be decreased by the same amount. By how much should they be decreased?

• 6 ft

• 43.5 ft

• 3 ft

• 1.5 ft

A rectangular picture frame contains a 12” x 14” picture. What is the width of the frame if the total area of the picture AND the frame is 288 square inches?

• 2"

• 4"

• 8"

• 15"

A picture is square with sides of 15 cm. If it is to be enlarged so that the area of the picture is doubled, how much will the length be increased?

• the length will be doubled

• the length will be multiplied by 4

• the length will be multiplied by √2

• the length will stay the same