SOLUTION: The area of a trapezoid is 51 square meters. One base is 7 meters long, and the other base is 10 meters long. Find the height of the trapezoid.(Given the area of a trapezoid A=1/2h

Algebra ->  Equations -> SOLUTION: The area of a trapezoid is 51 square meters. One base is 7 meters long, and the other base is 10 meters long. Find the height of the trapezoid.(Given the area of a trapezoid A=1/2h      Log On


   

Question 342969: The area of a trapezoid is 51 square meters. One base is 7 meters long, and the other base is 10 meters long. Find the height of the trapezoid.(Given the area of a trapezoid A=1/2h(b+c) where b and c are parallel sides, h is the height of the trapezoid)
please help and will you please explain step by step
thank you so much:)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The area of a trapezoid is 51 square meters.
One base is 7 meters long, and the other base is 10 meters long.
Find the height of the trapezoid.(Given the area of a trapezoid A=1/2h(b+c)
where b and c are parallel sides, h is the height of the trapezoid)
:
Write the equation like this:
1%2F2h(b + c) = 51
:
Multiply 2 to get rid of the fraction, results:
h(b + c) = 2(51)
h(b + c) = 102
:
Given: b = 7, c =10, replace b and c
h(7 + 10) = 102
17h = 102
:
divide both sides by 17
h = 102%2F17
h = 6 meters is the height
:
:
Check this by finding the area with these values
1%2F26(7 + 10) =
1%2F26(17) =
1%2F2102 = 51; confirms our solutions for h = 6
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