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serg [7]
3 years ago
6

Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for .

Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

22\ units^2

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a triangle plus the area of a parallelogram

<em>Find the area of triangle KLM</em>

A=\frac{1}{2} (b)(h)

we have

b=7-3=4\ units --> difference of the x-coordinates points M and K

h=6-3=3\ units --> difference of the y-coordinates points L and K

substitute

A_1=\frac{1}{2} (4)(3)=6\ units^2

<em>Find the area of parallelogram JKMN</em>

A=(B)(H)

B=6-2=4\ units --> difference of the x-coordinates points N and J

H=3-(-1)=4\ units --> difference of the y-coordinates points K and J

substitute

A_2=(4)(4)=16\ units^2

The area of the figure is equal to

A=A_1+A_2

A=6+16=22\ units^2

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