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 (4x − 3) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a base length of 10 inches.

Answer 1

To find the area of a stone, we can use the formula for the area of a parallelogram: Area = base * height.

The base length of the stone is x inches, and the height is (4x - 3) inches. Therefore, the polynomial to describe the area of a stone would be:

Area = x * (4x - 3)

Expanding and simplifying the expression, we get:

Area = 4x^2 - 3x

To find the area of a stone with a base length of 10 inches, we substitute x = 10 into the polynomial:

Area = 4(10)^2 - 3(10)

Area = 4(100) - 30

Area = 400 - 30

Area = 370 square inches

Therefore, the area of a stone with a base length of 10 inches is 370 square inches.