SOLUTION: Two similar parralograms have areas 125m and 80m. The height of the the larger parallelogram is 10m. What are the length of the bases of both parallelograms?

Algebra ->  Parallelograms -> SOLUTION: Two similar parralograms have areas 125m and 80m. The height of the the larger parallelogram is 10m. What are the length of the bases of both parallelograms?      Log On


   

Question 434981: Two similar parralograms have areas 125m and 80m. The height of the the larger parallelogram is 10m. What are the length of the bases of both parallelograms?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Area of parallelogram = b * h = base * height.
Then
A%5Bs%5D%2FA%5Bb%5D+=+%28h%5Bs%5D%2Fh%5Bb%5D%29%5E2
<==> 80%2F125+=+%28h%5Bs%5D%2F10%29%5E2
16%2F25+=+%28h%5Bs%5D%2F10%29%5E2
4%2F5+=+h%5Bs%5D%2F10 ==> h%5Bs%5D+=+8 meters.
==> base of smaller parallelogram is 80 m^2/8 m = 10 meters.
==> base of larger parallelogram is 125 m^2/10 m = 12.5 meters.