A rectangluar shaped rug is 13 ft longer than it is wide. Its perimeter is 66 ft.

Question

A rectangluar shaped rug is 13 ft longer than it is wide. Its perimeter is 66 ft. Write an equation, state what the variable(s) represent and solve for the dimensions for the rug. show steps

Answer 1

perimeter = 2*length + 2*width

length = width + 13

66 = 2*(width+13) * 2*width

66 = 2*width+26 +2*width

66 = 4*width + 26

40 = 4*width

10 = width

length = width + 23 = 23