Write an equation in terms of x that represents the given relationship?

Question

The length of a rectangle is 7yd more than twice the width x. The area is 855yd^2 .

Answer 1

width = x

length = 7yd + 2x

area = length × width = x(7yd + 2x) = 855(yd)²

7xyd + 2x² = 855(yd)²

2x² + 7xyd - 855(yd)² = 0

2x² + 17xyd - 10xyd - 855(yd)² = 0

x(2x + 17yd) - 10yd(x + 17yd) = 0

(2x + 17yd)(x - 10yd) = 0

(length + 10yd)(width - 10yd) = 0