Question

The length of a rectangle is 4cm less than twice it’s width the perimeter of the rectangle is 34cm. What are the Demensions of the rectangle

Answer 1

w=7 and l=10

Explanation:

To find the dimensions, create an equation for its perimeter and solve. Recall, the perimeter formula for a rectangle is P = 2l+2w. P is 34 cm. L is 4cm less than twice the width or 2w-4. And the width is w.

P = 2l+2w

34 = 2(2w-4) + 2w

34 = 4w -8 +2w

34 = 6w -8

34+8 = 6w

42 = 6w

7=w

The width is 7 cm. To find the length substitute w=7 into l=2w-4.

l=2w-4

l=2(7)-4

l=14-4

l=10