I NEED HELP NOW Find the area of each shaded region. Show your reasoning.
LA
B
d
Using the strategies
previously discussed
(decomposing and
composing)
, find the
area of the three
shaded figures below.
Remember that you
can count the squares
as your easiest
strategy,
but I would like for
you to use a
mathematical
strategy to find the
area of the shaded
regions. Beware of
the squares in Figure
C that are not whole
units.

Answer

A- 22 square units

B- 28 square units

C- 18 square units

Step-by-step explanation:

A. You can break it up into 3 different rectangles

(1*2)+(2*4)+(2*6)=22

B. You can first start by finding the area then subtracting the the places where it is not covered.

So the area of the whole square is 6*6=36

Now you can subtract the small squares 2*2=4.

This will be put 2 times as there are two small squares.

So you will subtract 8 square units from 36.

36-8=28

C- You can decompose C into a triangle and a rectangle.

The area of a triangle is 1/2*width*height. When you plug the dimensions in you get 1/2*6*2=6 square units.

Now to find the rectangle. The formula is width*length. Plug the dimensions in and you get 2*6=12 square units.

Just add those two together and you get 18 square units.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.