The length of a rectangle is three times its width. The perimeter is 160 cm. What is the number of square centimeters in the area of the rectangle?

1200 cm²

Step-by-step explanation:

width = x cm

length = 3x cm

perimeter = 160 cm

2 (x + 3x) = 160

4x = 160/2

4x = 80

x = 80/4

x = 20 cm - width

length = 3x = 3 · 20 = 60 cm

Area = length · width = 60 · 20 = 1200 cm²