SOLUTION: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224 2 m .find the lenght of the other baase.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224 2 m .find the lenght of the other baase.      Log On


   

Question 39677: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224
2
m .find the lenght of the other baase.


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the formula for the area of a trapezoid:
A+=+%28b1+%2B+b2%29h%2F2 substitute:
A = 224
h = 16
b1 = 20
Solve for b2.
A+=+%28b1%2Bb2%29h%2F2 Multiply both sides of the equation by 2.
2A+=+%28b1%2Bb2%29h Divide both sides by h.
2A%2Fh+=+b1%2Bb2 Subtract b1 from both sides.
%282A%2Fh%29-b1+=+b2 Substitute the given values of A=224 h=16, b1=20.
2%28224%29%2F16+-+20+=+b2
28+-+20+=+b2
b2+=+8
The other base is 8 meters.