The length of a rectangle is two times the

width. The perimeter of the rectangle is 24

inches. What is the area of the rectangle (in

square inches) ?

Area=32 square inches

Step-by-step explanation:

Step 1: Determine the dimensions of the rectangle

Width=w

Length=2*w=2 w

Step 2: Determine the perimeter of the rectangle

P=2 (L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=24 inches

W=w

L=2 w

replacing;

2 (w+2 w) = 24

2 (3 w) = 24

6 w=24

w=24/6=4

The width of the rectangle=4 inches

The length of the rectangle=2*4=8 inches

Step 3: Determine the Area of the rectangle

Area=length*width

where;

length=8 inches

width=4 inches

Area=8*4=32 square inches