Question

The length of a rectangular backyard, is 3x + 4 feet, and the width is x - 1 feet. Write à polynomial that represents the area. Find the area if x is 6 feet.

Answer 1

Explanation:

The length of the rectangular backyard is represented by the polynomial 3x + 4 and the width is represented by the polynomial x - 1. To find the area, we can multiply the length and the width, which will give us the polynomial expression for the area.

So the polynomial that represents the area of the rectangular backyard is:

(3x + 4) * (x - 1) = 3x^2 + x - 4

If x = 6, then we can substitute this value into the polynomial expression for the area and find the area of the backyard:

3x^2 + x - 4 = 3(6)^2 + (6) - 4 = 108 square feet

So the area of the rectangular backyard when x = 6 is 108 square feet.