The width of a rectangle is 9 centimeters greater than the length. Find the dimensions of the rectangle if the perimeter is 66 centimeters.

Answer: Length = 12cm, width = 21cm

Step-by-step explanation:

Let the length be x, then the width is x + 9, That is

Length = x

Width = x + 9

The formula for calculating the perimeter of a rectangle is given by:

Perimeter = 2 (Length + Width)

substituting the values, we have:

66 = 2 (x + x + 9)

66 = 2 (2x + 9)

divide through by 2

66/2 = 2x + 9

33 = 2x + 9

subtract 9 from both sides

33 - 9 = 2x

24 = 2x

divide through by 2

therefore:

x = 12

This means that

Length = 12cm

Width = 12 + 9 = 21 cm