SOLUTION: Can anyone help to solve this problem? Find the unknown base it height of the trapezoid. A=112 ft^2, b1=11ft, b2=____, h=8ft

Algebra ->  Surface-area -> SOLUTION: Can anyone help to solve this problem? Find the unknown base it height of the trapezoid. A=112 ft^2, b1=11ft, b2=____, h=8ft      Log On


   

Question 194948This question is from textbook
: Can anyone help to solve this problem?
Find the unknown base it height of the trapezoid.
A=112 ft^2, b1=11ft, b2=____, h=8ft This question is from textbook

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a trapezoid: A+=+%28%28b%5B1%5D+%2B+b%5B2%5D%29%2F2%29h
We have all these numbers but the second base. So we can use this equation to find it:
112+=+%28%2811+%2B+b%5B2%5D%29%2F2%29%288%29
Simplifying the right side we get:
112+=+%28%2811+%2B+b%5B2%5D%29%2F2%29%288%29+=+%2811+%2B+b%5B2%5D%294+=+44+%2B+4b%5B2%5D
Solving for the variable we subtract 44 from both sides:
68+=+4b%5B2%5D
Divide by 4:
17+=+b%5B2%5D