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DanielleElmas [232]
3 years ago
7

Find the area of the figure. Explain your reasoning.

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

Separate it into smaller figures.

Step-by-step explanation:

The figure can be separated into a triangle on the top, and 2 trapezoids on the middle and the bottom.

The area of the triangle is bh/2, which is (4 x 6)/2, which is 12.

The area of the trapezoid in the middle is .5(b1+b2)h, which is .5(6+4)3, which is 15.

The area of the trapezoid on the bottom is .5(6+5)2, which is 11.

Now, add them to get 12+11+15 which is 38.

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a regular polygon has all equal sides.


a PENTA=5, pentagon has 5 sides, so a regular pentagon has 5 equal sides.


\bf \textit{area of a polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=K\\ p=\stackrel{3+3+3+3+3}{15} \end{cases}\implies A=\cfrac{1}{2}K15\implies A=\cfrac{15}{2}K

7 0
3 years ago
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Hope it helps :) and let me know if you want me to elaborate.

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