Question

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

Answer 1

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

Find the area of triangle KLM

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

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

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

Find the area of parallelogram JKMN

$A=(B)(H)$

$B=6-2=4\ units$ --> 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

$A=A_1+A_2$

$A=6+16=22\ units^2$