Question

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)?

Answer 1

Area=32 square inches

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