Question

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

Question 18 options:

22 units2

34 units2

26 units2

20 units2

Answer 1

`22\ units^2`

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=(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=(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`