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

square✔ regular pentagonregular hexagon

Revolt · Accepted Answer

✔ regular pentagon

Question 3

equilateral triangle✔ squareregular pentagon

Revolt · Accepted Answer

✔ square

Question 4

✔ equilateral trianglesquareregular hexagon

Revolt · Accepted Answer

✔ equilateral triangle

Question 5

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 6

69✔ 12

Revolt · Accepted Answer

✔ 12

Question 7

4✔ 48144

Revolt · Accepted Answer

✔ 48

Area of Composite Figures Answers

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