Area of Composite Figures Answers

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

⇒ 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.

square✔ regular pentagonregular hexagon

equilateral triangle✔ squareregular pentagon

✔ equilateral trianglesquareregular hexagon

✔ 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

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

6X 9✔ 12

4✔ 48X 144

612✔ 36

⇒ 11

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?

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

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