Question

The perimeter of a rectangle is 96 inches. If the

width were tripled, the width would be 36 inches
more than the length. Find the width of the
rectangle.

Answer 1

The width of the rectangle=21 inches

Explanation:

Step 1: Determine the dimensions of the rectangle

Width=w

Length=l

But;

triple width=length+36

3×w=l+36

3 w=l+36

The length can be expressed as;

l=3 w-36

width=w

length=3 w-36

Step 2: Determine the perimeter of the rectangle

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=96 inches

W=w

L=3 w-36

replacing;

2(w+3 w-36)=96

2(4 w-36)=96

8 w-72=96

8 w=96+72=168

8 w=168

w=168/8=21

The width of the rectangle=21 inches