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A lawn in the shape of a trapezoid has an area of 1,833 square meters. The length of the other base is 42 meters. What is the height of the trapezoid? PLEASE DO STEP BY STEP

Sagot :

RedRicin
The area of a trapezoid can be found with this formula:

[tex]A=\frac{1}2(b_1+b_2)h[/tex]

Where b1 and b2 are the bases and h is the height.

If we plug in what we know we can solve for the height.
We know that b1 = 52, b2 = 42, and A = 1833. Let's solve.

[tex]1833=\frac{1}2(52+42)h\\1833=\frac{1}2\times94h\\1833=47h\\\boxed{h=39\ m}[/tex]
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