Question

The perimeter of a rectangle is 80 m. The length of the rectangle is 2 m less than 3 times its breadth. Find the length of the rectangle.

Answer 1

l = 29.5 m

Step-by-step explanation:

equation

P = 2l + 2w

given

P = 80

l = 3w - 2

plug in values

80 = 2(3w - 2) + 2w

distribute the 2

80 = 6w - 4 + 2w

combine like terms

84 = 8w

divide by 8

w = 10.5

plug w into l = 3w - 2

l = 3(10.5) - 2

multiply

l = 31.5 - 2

subtract

l = 29.5