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22 votes
22 votes
20.8 in 24 in 16 in 19.2 in Name the Shape: O triangle

20.8 in 24 in 16 in 19.2 in Name the Shape: O triangle-example-1
User Grumbler
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2.8k points

1 Answer

13 votes
13 votes

A trapezoid is a quadrilateral with only one pair of parallel sides. Then the answer is a Trapezoid.

We can divide the trapezoid in one rectangle and one triangle as following:

then, the area of the rectangle is


\begin{gathered} A_R=\text{base}* height \\ A_R=(19.2)(16) \\ A_R=307.2in^2 \end{gathered}

and the area of the triangle is


\begin{gathered} A_T=(base* height)/(2) \\ A_T=((19.2)(8))/(2) \\ A_T=(153.6)/(2) \\ A_T=76.8in^2 \end{gathered}

Therefore, the area of the trapezoid is


A=A_R+A_T

then, we have


\begin{gathered} A=307.2+76.8 \\ \end{gathered}

and the answer is A=384 in^2.

20.8 in 24 in 16 in 19.2 in Name the Shape: O triangle-example-1
User Gisella
by
3.3k points
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