Question

The rectangle has an area of x to the second power plus 13x + 36 sq.Meters and a length of x + 9 meters. What expression represents the width of the rectangle

Answer 1

Answer: the expression for the width is x + 4

Step-by-step explanation:

The area of the rectangle is expressed as

Area = x² + 13x + 36 square meters.

The length is expressed as

L = x + 9 meters

To determine the expression for the width of the rectangle, we would factorize the expression for the area. Hence

x² + 13x + 36 = 0

We would find two numbers such that their sum or difference is 13x and their product is 36x². The two numbers are 9x and 4x. Therefore,

x² + 9x + 4x + 36 = 0

x(x + 9) + 4(x + 9) = 0

(x + 4)(x + 9)

Therefore, the expression that represents the width of the rectangle is x + 4