Area of Composite Figures Answers

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1
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How can you decompose the composite figure to determine its area?

A
as two semicircles and a rectangle
B
as two circles and a rectangle
C
as a circle and a square
D
as two semicircles and a trapezoid
2
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square✔ regular pentagonregular hexagon

A
square
B
✔ regular pentagon
C
regular hexagon
3

equilateral triangle✔ squareregular pentagon

A
equilateral triangle
B
✔ square
C
regular pentagon
4

✔ equilateral trianglesquareregular hexagon

A
✔ equilateral triangle
B
square
C
regular hexagon
118847

✔ is greater than what the business needsis less than what the business needsis exactly 110,00 square feetcannot be determined with the information given

A
✔ is greater than what the business needs
B
is less than what the business needs
C
is exactly 110,00 square feet
D
cannot be determined with the information given
118849

An equilateral triangle with side lengths equal to units is inscribed in a circle.

Answers:
Half a side length of the equilateral triangle is units, so the apothem is units long and the radius of the circle is units long.:6
Half a side length of the equilateral triangle is units, so the apothem is units long and the radius of the circle is units long.:12
Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or (π − ) units2.:48
Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or (π − ) units2.:36

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