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.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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