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.

The width of the rectangle=21 inches

Step-by-step 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