Square Roots & Area Problems for Grade 8 Review

A square garden has an area of 144 square meters. What is the length of one side of the garden?

• 16 meters

• 14 meters

• 10 meters

• 12 meters

The area of a square park is 256 square feet. How long is each side of the park?

• 14 feet

• 20 feet

• 12 feet

• 16 feet

A rectangular swimming pool has a length that is 3 meters longer than its width. If the area of the pool is 50 square meters, what are the dimensions of the pool?

• Width: 5 meters, Length: 8 meters

• Width: 6 meters, Length: 9 meters

• Width: 5.79 meters, Length: 8.79 meters

• Width: 4 meters, Length: 7 meters

The height of a triangle is 6 meters, and its area is 24 square meters. What is the length of the base of the triangle?

• 10 meters

• 5 meters

• 8 meters

• 12 meters

A square tile has an area of 81 square inches. What is the length of one side of the tile?

• 10 inches

• 9 inches

• 7 inches

• 8 inches

The perimeter of a square is 40 meters. What is the length of one side of the square?

• 15 meters

• 5 meters

• 20 meters

• 10 meters

A rectangular garden has a length that is twice its width. If the area of the garden is 72 square meters, what are the dimensions of the garden?

• Width: 6 meters, Length: 12 meters

• Width: 4 meters, Length: 8 meters

• Width: 3 meters, Length: 6 meters

• Width: 5 meters, Length: 10 meters

The area of a square is equal to the area of a rectangle with a length of 10 meters and a width of 6 meters. What is the length of one side of the square?

• 9 meters

• 6.5 meters

• 7.75 meters

• 8 meters

A square has a diagonal of 10√2 cm. What is the length of one side of the square?

• 10 cm

• 5 cm

• 20 cm

• 15 cm

The area of a square is represented by the equation A = x². If the area is 49 square units, what is the value of x?

• 5

• 7

• 10

• 3