SOLUTION: What is the length of the other base of a trapezoid when the height of the trapezoid is 16m, one base is 20 m, and the area is 224 m squared.

Algebra ->  Equations -> SOLUTION: What is the length of the other base of a trapezoid when the height of the trapezoid is 16m, one base is 20 m, and the area is 224 m squared.      Log On


   

Question 12101: What is the length of the other base of a trapezoid when the height of the trapezoid is 16m, one base is 20 m, and the area is 224 m squared.
Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
A=h(%28b%2Bb%29%2F2%29)
224m%5E2=16m(%2820m%2Bb%29%2F2%29) divide both sides by 16m
%28224m%5E2%29%2F16m=%2816m%2F16m%29(%2820m%2Bb%29%2F2%29)
14m=(%2820m%2Bb%29%2F2%29)
14m=10m+b%2F2 subtract 10m from both sides
14m-10m=10m+b%2F2-10m
4m=b%2F2 multiply both sides by 2
(4m)(2)=b%2F2(2)
8m=b


The length of the other base is 8 meters