Answered

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find the area of the shape

Sagot :

We can decompose the shape into two triangles, one with a base of 4 yds and a height of 5 yds, and the other with a base of 4 yds and a height of 13 yds.

The area of a triangle is calculated as follows:

[tex]A=\text{base}\cdot\text{height}\cdot\frac{1}{2}[/tex]

Then, the area of the triangles are:

[tex]\begin{gathered} A_1=4\cdot5\cdot\frac{1}{2} \\ A_1=10yd^2 \\ A_2=4\cdot13\cdot\frac{1}{2} \\ A_2=26yd^2 \end{gathered}[/tex]

And the are of the shape is 10 + 26 = 36 yd²

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