The perimeter of a rectangle is 45 cm. The width is 3 cm longer than half the length.

Question

The perimeter of a rectangle is 45 cm. The width is 3 cm longer than half the length.

a) Write this as a system of linear equations.

b) Solve the system to find the length and the width.

Answer 1

W = 3 + L/2

P = 2W + 2L = 2(3+L/2) + 2L = 6 + 3L = 45

3L =39

L = 13 cm long

W = 3+13/2 = 9.5 cm wide

45=2(13) + 2(9.5) = 26+19