Question

The length of a rectangle is 5 cm longer than twice the length of the with. Is the perimeter of the rectangle is 88 cm what is the width?

Answer 1

The width is 13 cm.


l=2w+5

88=2l+2w

From there it’s just solving for w.

One way to do that is by using the first equation to put the second equation in terms of only w.

Answer 2

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 2L + 2w

88 = 2(2w + 5) + 2(w)

88 = 4w + 10 + 2w

88 = 6w + 10

78 = 6w

13 = w

Answer: 13 cm