SOLUTION: Hey, I have an issue. I had a rectangle with the area of 255m squared, the length= 17m, the width=15m I needed to extend this area by 3.226 so it became 822.63m squared. My pro

Algebra ->  Rectangles -> SOLUTION: Hey, I have an issue. I had a rectangle with the area of 255m squared, the length= 17m, the width=15m I needed to extend this area by 3.226 so it became 822.63m squared. My pro      Log On


   

Question 744803: Hey, I have an issue.
I had a rectangle with the area of 255m squared, the length= 17m, the width=15m
I needed to extend this area by 3.226 so it became 822.63m squared. My problem is that how do I figure out the dimensions of length and width once I have this new area? I have tried things like simply multiplying the lengths and widths by 3.226 but they were incorrect and am stuck to how to complete this.
Answer by savvyhush23(50) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the extension of the sides of rectangle after it extend the area by 3.226
thus, L2=x%2B17 & W2=x%2B15
The ratio of the extended area to the original area is: A2%2FA1+=+3.226
%28%28x%2B17%29%28x%2B15%29%29%2F255=3.226
x%5E2%2B32x-567.63=0
solving quadratic equation yields
x=12.699
Thus, L2=x%2B17=29.699 & W2=x%2B15=27.699
Checking: A2=29.699%2A27.699=822.633