Question 432486
The perimeter is x + y + x + y = 2(x + y) = 36 ……………………………(1)


We know that x = y + 2 so substituting this for x in (1) we have


2(y + 2 + y) = 36 …………………………………………………………………………(2)


Rearranging (2) we have 4y + 4 = 36 or 4y = 32 giving y = 8


So if the width is 8 ft and the length is 8 ft + 2 ft = 10 ft, we have a rectangle with a length 10 ft and a width 8 ft.


Go all the way round and you have 10 ft + 8 ft + 10 ft + 8 ft = 36 ft