Area of Composite Figures

Question 1

Isla says the areas of the two shaded regions are equal. Clara says the shaded region in the first figure has a larger area. Who is correct?

Revolt · Accepted Answer

Isla is correct because each figure subtracts an equal area from the area of the square.

Question 2

Question 118880

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. Shaded area = area of the – area of the + area of the – area of the

Revolt · Accepted Answer

Selection 1: regular hexagon; Selection 2: regular pentagon; Selection 3: square; Selection 4: equilateral triangle

Question 4

A new business requires an office space of at least 110,000 square meters. Is there enough space in the floor plan shown here? The radius of the semicircle is . The area of the office shown in the floor plan .

Revolt · Accepted Answer

100 m; Selection 1: 100 m; Selection 2: is greater than what the business needs

Question 5

Question 118898

Revolt · Accepted Answer

is greater than what the business needs

Question 6

An equilateral triangle with side lengths equal to units is inscribed in a circle. 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. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or (π − ) units2.

Revolt · Accepted Answer

Selection 1: 6; Selection 2: 12; Selection 3: 48; Selection 4: 36

Question 7

Question 118917

Revolt · Accepted Answer

118865

Area of Composite Figures Answers

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