Question

Find the area of the irregular figure.

A. 432 units2
B. 438 units2
C. 650 units2
D. 864 units2

Answer 1

a

Explanation:

Answer 2

Option A.
`432\ units^(2)`

Explanation:

we know that

The area of the irregular figure is equal to the area of two trapezoids

The area of trapezoid is equal to

`A=(1)/(2)(b1+b2)h`

where

b1,b2 are the parallel bases

h is the perpendicular distance between the parallel bases

Find the left trapezoid area

`A1=(1)/(2)(4+25)(16)=232\ units^(2)`

Find the trapezoid area on the right

`A2=(1)/(2)(25+15)(10)=200\ units^(2)`

The area of the irregular figure is

`A=A1+A2=232\ units^(2)+200\ units^(2)=432\ units^(2)`