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*4m=36m^2`

(2)

`A_2=(15+4)m*(9-4)m=19m*5m=95m^2`

(3)

`A_3=4m*(23-4-15)m=4m*4m=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`