Answer:
The length is 29 cm while the width is 12cm
Explanation:
Given that the length l of a rectangle is 5cm more than twice the width w then
l = 5 + 2w
If the perimeter p of the rectangle is 82cm, recall that the perimeter p of a rectangle is given as
p = 2(l + w)
substituting for l into the equation
82 = 2(5 + 2w + w)
82 = 2(5 + 3w)
Divide both sides by 2
41 = 5 + 3w
41 - 5 = 3w
36 = 3w
Divide both sides by 3
w = 12cm
recall that
l = 5 + 2w
l = 5 + 2(12)
l = 5 + 24
l = 29cm