Question

The rectangle below has an area of x^2-25x 2 −25 square meters and a length of x+5x+5 meters. What expression represents the width of the rectangle?

Answer 1

Answer: x - 5

Explanation:

Since, the area of the rectangle =
`x^2 - 25=(x+5)(x-5)`

Length of the rectangle = x+5

Let the width of the rectangle = b

Thus, the area of the rectangle =
`(x+5)* b`

⇒
`(x+5)* b=(x+5)(x-5)`

⇒
`b=((x+5)(x-5))/((x+5))`

⇒
`b=x-5`

Therefore, the expression that shows the width of the rectangle = x-5