find the area of each shaded region assume that all angels that we're to the right angles are right angles
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find the area of each shaded region assume that all angels that we're to the right angles are right angles
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Answer:
7. 132 cm^2
8. 14 cm^2
9. 37.68 in^2
10. 21.5 cm^2
Step-by-step explanation:
7.
Formulas:
Triangle: A=hb/2
Rectangle: A=lw
Get the area of the rectangle first.
A=18 cm x 12 cm
A=216 cm^2
Now, get the area of the triangle.
A=12 cm x 14 cm / 2
A=168 cm / 2
A=84 cm^2
Then, subtract the Areas.
216 cm^2 - 84 cm^2 = 132 cm^2
Therefore, the area of the shaded region is 132 cm^2.
8.
Formula:
Triangle: A=hb/2
First, get the area of the whole triangle.
A=4 cm x 10 cm / 2
A=40 cm / 2
A=20 cm^2
Then, get the area of the non shaded region.
A=3 cm x 4 cm / 2
A=12 cm / 2
A=6 cm^2
Now, subtract the areas.
20 cm^2 - 6 cm^2 = 14 cm^2
Therefore, the area of the shaded region is 14 cm^2.
9.
Formula:
Circle: A=πr^2
First, get the area of the big circle.
A=3.14 x 4 in^2
A=3.14 x 4 in x 4 in
A= 3.14 x 16 in
A= 50.24 in^2
Next, get the area of the small circle inside the big circle.
A=3.14 x 2 in^2
A=3.14 x 2 in x 2 in
A=3.14 x 4 in
A=12.56 in^2
Now, subtract the areas.
50.24 in^2 - 12.56 in^2 = 37.68 in^2
Therefore, the area of the shaded region is 37.68 in^2.
10.
Formulas:
Square: A= a^2
Circle: A=πr^2
First, get the area of the square.
A=10 cm^2
A=10 cm x 10 cm
A=100 cm^2
Next, get the area of the circle.
A=3.14 x 5 cm^2
(How did I get the 5 as the radius? =The side of the square id the diameter of the circle. If you divided the diameter by 2, you'll get the radius of the circle.) continue...
A=3.14 x 5 cm x 5 cm
A=3.14 x 25 cm
A=78.5 cm^2
Now, subtract the areas.
100 cm^2 - 78.5 cm^2 = 21.5 cm^2
Therefore, the area of the shaded region is 21.5 cm^2.
Hope this helps. :)