Question

10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters

longer than the width. If the area of the room will be 150 square meters, what are the

dimensions?

Answer 1

L = 15 m, b = 10 m

Explanation:

Let width of the rectangle be b.

Length = 5+b

The area of the rectangle is 150 sq meters.

The area of rectangle is given by :

A = lb

So,

`150=b(5+b)`

It is a quadratic equation. The solution of this equation is :

b = -15 m and 10 m

Neglecting -15, the width of the rectangle is 10 m.

Length = 5+10

= 15 m

So, the dimensions of the room are 10 m and 15 m.