Question

A rectangular persian carpet has a perimeter of 228 inches. the length of the carpet is 22 inches more than the width. what are the dimensions of the carpet?

Answer 1

Assuming x = Length, y = Width


`2x + 2y = 228 \\ x = y + 22`
Substitute that into

`2(y + 22) + 2y = 228 \\ 2y + 44 + 2y = 228 \\ 4y = 184 \\ y = 46`
Substitute that into

`x = 46 + 22 \\ x = 68`
Answer is 68 x 46 =

`3128inches^(2)`

Hope this helps. - M