SOLUTION: Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215 units squared?

Algebra ->  Polygons -> SOLUTION: Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215 units squared?      Log On


   

Question 887327: Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215 units squared?
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
We will use the following formula to solve this problem:
A+=+%28%28b1%2Bb2%29%2F2%29h

We know the area is 215 units squared, base 1 is 21 units, and the height is 13 units so we can plug those into the formula and solve for b2.

A+=+%28%28b1%2Bb2%29%2F2%29h plug in what we know
215+=+%28%2821%2Bb2%29%2F2%2913 distribute the 13
215+=+%28273%2B13b2%29%2F2%29 multiply both sides by 2
430+=+273%2B13b2 subtract 273 from both sides
157+=+13b2 divide both sides by 13
157%2F13+=+b2