Question

The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 255 square​ centimeters?

Find length and width

Answer 1

• 15 cm, 17 cm

Explanation:

Let the length be x:

• l = x
• w = x +2

A = lw ⇒ formula for the area of rectangle

A = 255 cm²

• x(x+2) = 255
• x^2 + 2x + 1 = 256
• (x+1)^2 = 16^2
• x + 1 = 16
• x = 15

l = 15 cm, w = 17 cm