The perimeter of a rectangle is 54 cm. If the length is 2 cm more than a number, and the width is 5 cm less than twice the same number, what is the number?

Question

The perimeter of the rectangle is 54 cm and the length is 2 cm more than a number. The width is 5 cm less than twice the same number.

Answer 1

P = 2l + 2w

x = "a number"

 

54 = 2(l+w)

27 = l + w

27 = (x+2) + (2x-5)

27 = 3x - 3

27 = 3 (x-1)

9 = x-1

10 = x