Exploring Perfect Squares and Simplifying Roots in Math

A gardener is planting a square garden with an area of 144 square feet. What is the length of one side of the garden?

• 14 feet

• 12 feet

• 10 feet

• 16 feet

A square tile has an area of 64 square inches. What is the length of one side of the tile?

• 6 inches

• 10 inches

• 8 inches

• 12 inches

A rectangular park has a length of 10 meters and a width of 5 meters. What is the length of the diagonal of the park, simplified?

• 5√5 meters

• 15 meters

• 5√2 meters

• 10 meters

A swimming pool is in the shape of a square with an area of 225 square meters. What is the length of one side of the pool?

• 10 meters

• 20 meters

• 15 meters

• 12 meters

A square plot of land has an area of 81 square yards. What is the length of one side of the plot?

• 10 yards

• 12 yards

• 8 yards

• 9 yards

A triangular garden has a base of 12 meters and a height of 6 meters. What is the area of the garden, and can you simplify the square root of the area?

• 24 square meters, square root is 4

• 36 square meters, square root is 6

• 48 square meters, square root is 12

• 30 square meters, square root is 5

A square room has an area of 49 square feet. What is the length of one side of the room?

• 7 feet

• 5 feet

• 3 feet

• 10 feet

A rectangular field has a length of 15 meters and a width of 9 meters. What is the length of the diagonal, simplified?

• 5√34

• 3√34

• 12√34

• 4√34

A square painting has an area of 36 square inches. What is the length of one side of the painting?

• 4 inches

• 6 inches

• 9 inches

• 8 inches

A square box has a volume of 125 cubic centimeters. What is the length of one side of the box, simplified?

• 6 cm

• 5 cm

• 4 cm

• 10 cm