The width of a rectangular picture frame is three times the length. The perimeter is 56 inches. Find the dimensions of tge rectangle. Show steps

Question

Please help me with my homework. If you know how to do this word problem, please answer.

Answer 1

let width = w    let length = l

we know that w = 3l (1)

we know the perimeter is 56 in. the perimeter = 2(w+l) = 56 we devide both sides by 2 and we get

2(w+l)/2 = 56/2  ->>  w+l = 28 (2)  from (2) we have  w=28-l (4)  substituting where w=3l (because of (1))

we get 3l=28-l  =>> 3l+l = 28  =>>  4l=28  ->> l=7  going back to (1) we have w=21

so length=7 inch   and  width = 21 inch.