A lawn is in the shape of a trapezoid with a height of 50 feet and bases of 80 feet and 120 feet. How many bags of fertilizer must be purchased to cover the lawn if each bag covers 800 square​ feet?

Answer 1

To solve this, you would need to start by finding the area of the trapezoid.

Use the formula for the area of a trapezoid.

((Base 1 + Base 2) / 2) x the height of the trapezoid.

Each bag of fertilizer can cover up to 800 square feet of the lawn. You would use your answer for the area of the trapezoid to to figure out how many bags would be needed.

Try it on your own first.

((Base 1 + Base 2) / 2) x the height of the trapezoid.

((80ft + 120ft) / 2 ) x 50 ft

(200 ft/2) x 50 ft

100 ft x 50 ft = 500 ft

The area of the trapezoid is 500 ft ².

If each bag of fertilizer can cover up to 800 square feet, you would look and see that 500 square feet is less than 800 square feet. You would only need one bag of fertilizer.