Question

The perimeter of a rectangle is 48 cm. If the length is 3 cm more than a number and the width is 6 cm more than twice the same number. What is the number?

Answer 1

x = 5cm.

Explanation:

Let the number be x

Given the following data;

Length of rectangle = x + 3

Width of rectangle = 2x + 6

Perimeter of rectangle = 48 cm

The formula for the calculating the perimeter of a rectangle is;

Perimeter = 2(L+W)

Substituting into the equation, we have;

48 = 2(x + 3 + 2x + 6)

48 = 2(3x + 9)

48 = 6x + 18

48 - 18 = 6x

30 = 6x

x = 30/6

x = 5