The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.

What is the width of the rectangle?

2 cm

6 cm

8 cm

10 cm

Area = 72 sq. cm

length = x+6

Width = x

l*b = Area

(x+6) x = 72

x2 + 6x=72

x2+6x-72=0

x2+12x-6x-72=0

x (x+12) - 6 (x+12) = 0

(x+12) (x-6) = 0

x=-12, x=6

since width can't be negative, the answer is x=6.

therefore, the width is 6cm