SOLUTION: If the heigth of a trapezoid is 16m, one base is 20m, and the area is 224m2, find the length of the other base. Need translation into algebraic equation. letting x represent the

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Question 78111This question is from textbook Beginners Algebra 6e
: If the heigth of a trapezoid is 16m, one base is 20m, and the area is 224m2, find the length of the other base.
Need translation into algebraic equation. letting x represent the number in each case.This question is from textbook Beginners Algebra 6e

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the formula for the area of a trapezoid: A+=+%281%2F2%29%28a%2Bb%29h where: A = 224 sq.m., h = 16m., a = 20m, and b = x., you can write:
%281%2F2%29%2820%2Bx%29%2816%29+=+224 Simplifying this:
8%2820%2Bx%29+=+224 Divide both sides by 8.
20%2Bx+=+28 Subtract 20 from both sides.
x+=+8m.
Check:
%281%2F2%29%2820%2B8%29%2816%29+=+%288%29%2828%29 = 224