Question

If the area of the rectangle shown is 150 square feet, we can use the equation 2x2 - 5x = 150 to find its dimensions. If the solution to the equation is x = 10, what are the dimensions of the rectangle?

Answer 1

The answer is 10 ft and 15 ft.

The area of the rectangle (A) is the product of its length (l) and width (w):
A = l * w

A = 150 ft²

2x² - 5x = 150
x * 2x - x * 5 = 150
x(2x - 5) = 150

So, x is one side, and 2x - 5 is another side.
Therefore, one side will be: 10
and another side will be;  2 * 10 - 5 = 20 - 5 = 15

Dimensions of the rectangle are 10 ft and 15 ft.