SOLUTION: What is the height of a trapezoid that has an area of 48 sq. in. and {{{b[1]=3}}} inches and {{{b[2]=5}}} inches?

Algebra ->  Surface-area -> SOLUTION: What is the height of a trapezoid that has an area of 48 sq. in. and {{{b[1]=3}}} inches and {{{b[2]=5}}} inches?      Log On


   

Question 597387: What is the height of a trapezoid that has an area of 48 sq. in. and b%5B1%5D=3 inches and b%5B2%5D=5 inches?
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
.
The formula for the area of a trapezoid is
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A=%28h%2F2%29%28b%5B1%5D%2Bb%5B2%5D%29
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Substitute the known values into this formula.
48=%28h%2F2%29%283%2B5%29
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Simplify and solve for h, the height.
48=%28h%2F2%29%288%29
6=h%2F2
h=12
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The equation h = 12 means that the height is 12 inches.
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CHECK:
A=%28h%2F2%29%28b%5B1%5D%2Bb%5B2%5D%29
48=%2812%2F2%29%283%2B5%29
48=%286%29%288%29
48=48
Check!
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Thst's it. Feel free to email me if the explanation is unclear.
.
Ms.Figgy
math.in.the.vortex@gmail.com