Area of Composite Figures Answers

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

square✔ regular pentagonregular hexagon

equilateral triangle✔ squareregular pentagon

✔ equilateral trianglesquareregular hexagon

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

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.

For a class project, a teacher cuts out 15 congruent circles from a single sheet of paper that measures 6 inches by 10 inches. How much paper is wasted?

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?

⇒ 34

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

✔ 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 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 .

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.

69✔ 12

4✔ 48144

612✔ 36