Question

The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.

Write and solve a system of equations to find the dimensions of the rectangle.

Answer 1

P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm