Find the value of x if the area of the trapezoid is 54.
1 answer:
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2. First you need to know about the pythagorean theorem which is
a^2 + b^2 = c^2. Look at the first picture below for more reference.
Next you use the pythagorean theorem to find out the right triangle sides to then know the length and width of the rectangle.
a = 8
b = unknown
c = 10
Now use algebraic steps. 8^2 + b^2 = 10^2 --) 64 + b^2 = 100 --) b^2 = 36 --)
b = 6 .
Finally you know the length which is 8 + 8 = 16 and the width which is 6, so the area of the rectangle is 16 x 6 = 96. And to look apporpriate 96in.^2 .
