SOLUTION: The width of a poster is four fifths the length. It takes 36 ft. of metal framing to frame the poster. Find the dimensions of the poster.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The width of a poster is four fifths the length. It takes 36 ft. of metal framing to frame the poster. Find the dimensions of the poster.      Log On


   



Question 275685: The width of a poster is four fifths the length. It takes 36 ft. of metal framing to frame the poster. Find the dimensions of the poster.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
W=4/5L
2L+2W=36
2L+2(4/5L)=36
2L+8L/5=36
(5*2L+8L)/5=36
(10L+8L)/5=36
18L/5=36 CROSS MULTIPLY
18L=180
L=180/18
L=10 ANS. FOR THE LENGTH.
W=4/5*10
W=40/5=8 ANS. FOR THE WIDTH.
PROOF:
2*10+2*8=36
20+16=36
36=36