The length of a rectangle is 9 yd more than twice the width x. The area is 455 yd?. Write an equation in terms of x that represents the given relationship.

x * (2x + 9) = 455

Step-by-step explanation:

To express the width in terms of x, given information

x = width

The given information says the length is 9 more than 2 times the width. Length can be expressed in terms of x like this.

2x + 9 = length

The area of a rectangle is length x width, and the given area is 455.

x * (2x + 9) = 455 or 2x^2 + 9x = 455

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get