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

Step-by-step 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 = $(x+5)\times b$

⇒ $(x+5)\times b=(x+5)(x-5)$

⇒  $b=\frac{(x+5)(x-5)}{(x+5)}$

⇒ $b=x-5$

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