The area of a rectangle is x 2 + 7x + 10 square units. If the length of the rectangle is x + 2 units, what is the width of the rectangle?

Question

Accepted Answer

The area of a rectangle is equal to its length times its width. Therefore, the width of the rectangle is equal to its area divided by its length: x 2 + 7x + 10 ⁄ x + 2 ; x 2 + 7x + 10 can be factored into (x + 2)(x + 5). Cancel the (x + 2) terms from the numerator and denominator of the fraction. The width of the rectangle is x + 5 units.

Want a deeper, personalized explanation?

Related questions