Module 13.3 Hmwk: Solving Area Equations

The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 square feet. Write and solve an equation to find the base of the A-frame house.

A countertop is in the shape of a trapezoid. The lengths of the bases are 70 1 2 and 65 1 2 inches long. The area of the countertop is 1,224 square inches. Write and solve an equation to find the height of the countertop.

The top of a coffee table is in the shape of a rectangle. The length of the top of the coffee table is 3.5 feet and the area is 10.5 square feet. What is the width of the top of the coffee table?

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1 2 square centimeters. The height of the banner is 4 1 4 centimeters. What is the base of the banner?

McKenzie has enough paint to paint 108 square feet. She wants to paint her garage door, which has a height of 12 feet. The garage door is in the shape of a rectangle. If McKenzie has just enough paint to cover the garage door, what is the width of the door?

The front of a podium is in the shape of a trapezoid with base lengths 4 and 8.5 feet. The height is 2 feet. A gallon of paint covers about 350 square feet. How many front frames of a podium can Lillian paint with 2 gallons of paint?

Kenneth’s back yard is in the shape of a rectangle with a length of 12 yards and a width of 10 yards. A bag of grass seed costs $25.99 and covers 400 square feet. How much will Kenneth spend on grass seed to cover his back yard?

A park is in the shape of a parallelogram. The park has an area of 776 1 4 square yards. The base of the park is 34 1 2 yards. Marta wants to jog 10 sprints. Each sprint is the same distance as the height of the park. How far will Marta sprint?

A quilt contains cuts of congruent right triangular pieces with a base of 8 1 2 centimeters and a height of 8 1 2 centimeters. How many triangular pieces are needed to make a rectangular quilt with an area of 4,335 square centimeters?

Christopher’s back yard is in the shape of a trapezoid. The bases of his back yard are 30 and 40 feet long. The area of his back yard is 525 square feet. Write and solve an equation to find the height of Christopher’s back yard.