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find the area of trapezoid FGHI with vertices G and H that are right angles and sides 10 cm, 12 cm, and 18 cm as shown.

find the area of trapezoid FGHI with vertices G and H that are right angles and sides-example-1

1 Answer

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ANSWER:

The area of trapezoid is


A_T=198\operatorname{cm}^2

Explanation:

We must divide the figure in two as follows to calculate the area of the trapezoid:

Therefore, we must calculate the area of 1 and area of 2 and the sum of both areas would be the area of the trapezoid:

For the Area 1:


\begin{gathered} A_1=w\cdot l \\ A_1=10\cdot18 \\ A_1=180\operatorname{cm} \end{gathered}

For the Area 2:


\begin{gathered} A_2=(b\cdot h)/(2) \\ A_2=(18\cdot2)/(2) \\ A_2=18\operatorname{cm}^2 \end{gathered}

The total area would then be:


\begin{gathered} A_T=A_1+A_2 \\ A_T=180+18 \\ A_T=198\operatorname{cm}^2 \end{gathered}

find the area of trapezoid FGHI with vertices G and H that are right angles and sides-example-1
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