Question

Find the area of the irregular figure.

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

Option A. $432\ units^{2}$

Step-by-step 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

$A=\frac{1}{2}(b1+b2)h$

where

b1,b2 are the parallel bases

h is the perpendicular distance between the parallel bases

Find the left trapezoid area

$A1=\frac{1}{2}(4+25)(16)=232\ units^{2}$

Find the trapezoid area on the right

$A2=\frac{1}{2}(25+15)(10)=200\ units^{2}$

The area of the irregular figure is

$A=A1+A2=232\ units^{2}+200\ units^{2}=432\ units^{2}$