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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

Respuesta :

mhanifa

Answer:

  • 15 cm, 17 cm

Step-by-step 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

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