Grade 7 Pythagorean Theorem & Decimal Word Problems

A ladder is leaning against a wall. The foot of the ladder is 4 feet away from the wall, and the ladder reaches a height of 3 feet on the wall. How long is the ladder?

• 3 feet

• 6 feet

• 4 feet

• 5 feet

A rectangular garden measures 10.5 meters in length and 6.75 meters in width. What is the area of the garden in square meters?

• 75 square meters

• 80.5 square meters

• 70.875 square meters

• 65.25 square meters

A right triangle has one leg measuring 5.2 meters and the other leg measuring 3.6 meters. What is the length of the hypotenuse?

• 8.4 meters

• 7.8 meters

• 5.0 meters

• 6.32 meters

A swimming pool is 12.5 meters long and 8.4 meters wide. If you want to cover the bottom of the pool with tiles that are 0.5 meters by 0.5 meters, how many tiles do you need?

• 380

• 420

• 400

• 450

A right triangle has a hypotenuse of 13 inches and one leg measuring 5 inches. What is the length of the other leg?

• 10 inches

• 8 inches

• 12 inches

• 6 inches

A rectangular field has a length of 15.75 meters and a width of 9.25 meters. What is the perimeter of the field?

• 30 meters

• 50 meters

• 45 meters

• 60 meters

A right triangle has legs measuring 7.5 cm and 10 cm. Calculate the length of the hypotenuse to the nearest hundredth.

• 11.00 cm

• 12.50 cm

• 13.75 cm

• 14.50 cm

A rectangular box has a length of 2.5 feet, a width of 1.5 feet, and a height of 3 feet. What is the volume of the box in cubic feet?

• 12 cubic feet

• 11.25 cubic feet

• 10 cubic feet

• 9 cubic feet

A right triangle has a hypotenuse of 10 meters and one leg measuring 6 meters. What is the length of the other leg?

• 8 meters

• 9 meters

• 5 meters

• 7 meters

A triangular park has a base of 8.4 meters and a height of 5.2 meters. What is the area of the park in square meters?

• 10.5 square meters

• 15.6 square meters

• 21.84 square meters

• 30.2 square meters