SOLUTION: The length and the width of a rectangle have ratio of 5 is to 7. The perimeter is 48cm, find the length and the width.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The length and the width of a rectangle have ratio of 5 is to 7. The perimeter is 48cm, find the length and the width.      Log On


   

Question 172489: The length and the width of a rectangle have ratio of 5 is to 7. The perimeter is 48cm, find the length and the width.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
If Length & Width have a Ratio of 5 is to 7, it follows:
L%2FW=5%2F7 --->W=%287%2F5%29L, condition 1
Then, P%5BR%5D=2L%2B2W, EQN 1
subst. condition 1:
48=2L%2B2%287%2F5%29L
48=2L%2B%2814%2F5%29L
48=%2810L%2B14L%29%2F5 ---->48=24L%2F5, cross multiply
24L=48%2A5=240-----> cross%2824%29L%2Fcross%2824%29=cross%28240%2910%2Fcross%2824%29
highlight%28L=10cm%29
In condition 1:
W=%287%2F5%2910=70%2F5=highlight%2814cm=W%29
Check via EQN 1:
48=2%2A10%2B2%2A14
48=20%2B28
48=48
Thank you,
Jojo