SOLUTION: The length of a rectangle is reduced by 30%. By what percent would the width have to be increased to maintain the original area? Please show the working of this problem in detail.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The length of a rectangle is reduced by 30%. By what percent would the width have to be increased to maintain the original area? Please show the working of this problem in detail.      Log On


   

Question 1165613: The length of a rectangle is reduced by 30%. By what percent would the width have to be increased to maintain the original area?
Please show the working of this problem in detail.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
wL=A

Reduce length by 30% but want same area.
wk%2AL%281-0.3%29=A
-
w%2A0.7L%2Ak=A
0.7k%2AwL=A
0.7k%2AA=A
k=A%2F%280.7A%29
k=1%2F0.7
k=1.429
About a 43 % increase in width to maintain same area