Question

Find the area of the figure.

264 in2


231 in2


344 in2


165 in2

Answer 1

231 inch ^2 is your answer. Attached is shown work sorry my drawing sucks

Answer 2

`\text{The area of figure is }231 in^2`

Explanation:

Given the figure we have to find the area of given figure

The figure consist of a parallelogram, a rectangle and a triangle

Base of parallelogram= GE=9 inches

Height of parallelogram=HF=11 inches

`\text{Area of parallelogram is }base* height`

`=GE* HF=9* 11=99 in^2`

Length of rectangle=11 in.

Breadth of rectangle=9 in.

`\text{Area of rectangle=}length * breadth=11* 9=99 in^2`

base of triangle=AB=6 in.

Height=HB=11 in.

`\text{Area of triangle=}(1)/(2)* base* height`

`=(1)/(2)* 6* 11=33 in^2`

Total area of figure is

`ar(ABH)+ar(BCDH)+ar(HDEG)`

`=99+99+33=231 in^2`

Option 2 is correct.