the perimeter of a rectangle is 24 m. the width id 30 m less than five times the length. Find the dimensions of the rectangle.

Answer 1

Perimeter: 2L + 2W = 24

W = 5L - 30

Substitute 5L - 30 for W...

2L + 2(5L-30) = 24

2L + 10L - 60 = 24

12L = 84

L = 7

Substitute 7 for L

W = 5*7-30 = 35-30 = 5

Therefore the rectangle is 7m by 5m.