Area of Composite Figures

Question 1

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

Revolt · Accepted Answer

as two semicircles and a rectangle

Question 2

⇒ 34

Revolt · Accepted Answer

118840

Question 3

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.

Revolt · Accepted Answer

✔ regular hexagon; Shaded area = area of the – area of the + area of the – area of the: regular hexagon; Shaded area = area of the – area of the + area of the – area of the: regular pentagon; Shaded area = area of the – area of the + area of the – area of the: square; Shaded area = area of the – area of the + area of the – area of the: equilateral triangle

Question 4

square✔ regular pentagonregular hexagon

Revolt · Accepted Answer

✔ regular pentagon

Question 5

equilateral triangle✔ squareregular pentagon

Revolt · Accepted Answer

✔ square

Question 6

✔ equilateral trianglesquareregular hexagon

Revolt · Accepted Answer

✔ equilateral triangle

Question 7

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

Revolt · Accepted Answer

✔ is greater than what the business needs

Question 8

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

Revolt · Accepted Answer

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

Question 9

6X 9✔ 12

Revolt · Accepted Answer

✔ 12

Question 10

4✔ 48X 144

Revolt · Accepted Answer

✔ 48

Area of Composite Figures Answers

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