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A trapezoid has base measurements of 10 ft and 8 ft. What is the height of the trapezoid if the area is 95 ft2?


Show your equation, your work, and answer for full credit. Round your answer to the nearest tenth of a foot

Verified Answer :

0000000

Use the formula of the area of a trapezoid.
A=(B+b)·h/2
B=10ft
b=8 ft
A=95 ft
(10+8)·h/2=95|·2
18h=95·2
18h=190
h=190:18
h=10,5 ft

Answer: 10,5 ft

If it helps, I would draw a diagram/picture first and label what you do know.
The formula for the area of a trapezoid is A=(a+b)÷2xh
a and b are the two bases, h is the height. So let's substitute that into the equation:
95 = [(8+10) ÷ 2] x height. Sorry for all the brackets, computers like this arent really meant for maths.... Now you want to rearrange the equation to make height the subject, like this....
Height = 95 ÷ [(8+10) ÷ 2]. It's easier if we work out the brackets first. 8 +10, quite simple, 18, divided by 2 = 9.
Height = 95 ÷ 9 = 10.56 (rounded to two decimal places).
To check, use the original formula for area with all the values substituted in:
95 = 9 x 10.56 which is.... 95.
Unfortunately I can't change is to the units you need because I live in the UK and don't work in feet and the inches but hopefully you can change 10.5555556 feet into what you need (I think it's 10 foot 7 inches).
Sorry for the long answer.

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