SOLUTION: can you please help solve and show all work, write formula insert balues and show calculations of (((Find the height of a trapezoid with bases 6ft. and 10ft and area 32sq ft. )))

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Question 198935This question is from textbook geomtry
: can you please help solve and show all work, write formula insert balues and show calculations of (((Find the height of a trapezoid with bases 6ft. and 10ft and area 32sq ft. ))) This question is from textbook geomtry

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start with the formula for the area of a trapezoid:
highlight_green%28A%5Bt%5D+=+%28b%5B1%5D%2Bb%5B2%5D%29%2F2%2Ah%29 where b%5B1%5D is the length of one base and b%5B2%5D is the length of the other base and h = height.
Solve this equation for h:
h+=+2A%5Bt%5D%2F%28%28b%5B1%5D%2Bb%5B2%5D%29%29 Now substitute: A%5Bt%5D+=+32, b%5B1%5D+=+6, and b%5B2%5D+=+10.
h+=+2%2832%29%2F%28%286%2B10%29%29 Evaluate the right side.
h+=+64%2F16
highlight%28h+=+4%29ft.