Question

A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (3x − 5) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 inches.

Answer 1

The polynomial that describes the area of the stone is: 3x² - 5x

Area of the stone with a base length of 6 in. is: 78 sq. in.

What is the Area of a Parallelogram?

Area of Parallelogram = base length × height

Given the following:

• Base length = x in.
• Height = (3x - 5) in.

Area of the parallelogram-shaped stone = x(3x - 5) = 3x² - 5x

To find the area of the stone with a base length (x) of 6 inches, substitute x = 6 into 3x² - 5x:

Area = 3(6)² - 5(6) = 78 sq. in.

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