Answer: length = 11cm , width = 5cm
Explanation:
The formula for calculating the perimeter of a rectangle is given by :
P = 2 ( L + w )
The length is 1 cm more than twice the width implies:
L = 1 + 2w
substituting into the formula , we have
32 = 2 ( 1 + 2w + w )
32 = 2 ( 1 + 3w)
32 = 2 + 6w
32 - 2 = 6w
30 = 6w
Therefore :
w = 5
then
L = 1 + 2w
L = 1 + 2 ( 5 )
L = 1 + 10
L = 11
Therefore , the length is 11 cm and the width is 5cm