The length of a rectangular sign is 3 times its width. If the sign's perimeter is 32 inches, what is the sign's area?

Answer:48 square inche

Step-by-step explanation:

Length (L) = 3 x width (W)

L=3xW

Perimeter (p) = 2L+2W=32

2L+2W=32

substitute L=3xW in 2L+2W=32

2 (3xW) + 2W=32

6W+2W=32

8W=32

Divide both sides by 8

8W/8=32/8

W=4 width=4

Substitute w=4 in L=3xW

L=3x4

L=12 Length=12

Area=length x width

Area=12 x 4

Area=48