Question

23 mFind the area of the shaded region. All angles are right angles.4 m15 m9 m4 mThe area of the shaded region is m2.(Simplify your answer.)

Answer 1

Answer: We need to find the area of the shaded region in the given figure:

This shaded region can be broken into three parts as follows:

We can find the area of each of these (1) (2) and (3) boxes and sum it all together to get the total area.

(1)

$A_1=9m\times4m=36m^2$

(2)

$A_2=(15+4)m\times(9-4)m=19m\times5m=95m^2$

(3)

$A_3=4m\times(23-4-15)m=4m\times4m=16m^2$

Adding them together gives.

$A_T=A_1+A_2+A_3=36m^2+95m^2+16m^2=147m^2$

Therefore:

$A_{shaded}=147m^2$