Answer: Length = 12cm , width = 21cm
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