Area of Composite Figures

Question 1

The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B cm2. Which expressions show the area of the shaded region in terms of A and B? Check all that apply.

Revolt · Accepted Answer

4A + B; 1.5B; 12A

Question 2

69✔ 12

Revolt · Accepted Answer

✔ 12

Question 3

4✔ 48144

Revolt · Accepted Answer

✔ 48

Question 4

612✔ 36

Revolt · Accepted Answer

✔ 36

Question 5

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 6

square✔ regular pentagonregular hexagon

Revolt · Accepted Answer

✔ regular pentagon

Question 7

equilateral triangle✔ squareregular pentagon

Revolt · Accepted Answer

✔ square

Question 8

✔ equilateral trianglesquareregular hexagon

Revolt · Accepted Answer

✔ equilateral triangle

Question 9

The radius of the semicircle is [___].

Revolt · Accepted Answer

100 m; The radius of the semicircle is .: 100 m; The area of the office shown in the floor plan .: is greater than what the business needs

Question 10

✔ is greater than what the business needsis 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

Area of Composite Figures Answers

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