Area of Composite Figures

What is the area of this figure?

• 208.5 m²

• 109.5 m²

• 415.7 m²

• 322.4 m²

What is the area of the shaded region?

• 23.1 cm²

• 5.1 cm²

• 17.4 cm²

• 37.3 cm²

• 50 cm²

• 100 cm²

• 86 cm²

• 129 cm²

• 64 in²

• 80 in²

• 100 in²

• 144 in²

Gael used a semicircle, a rectangle, and right triangle to form the figure shown. Which is the best estimate of the area of the figure in square centimeters?

United High School is building a new gymnasium and will paint parts of the basketball court using their school colors. The diagram represents the part that will be painted. What is the area, in square feet, of the part of the basketball court that will be painted?

A game is played using a rectangular piece of wood with three circular holes. The side lengths of the rectangle and the diameters of the holes are labeled. Which measurement is the best estimate of the area in square inches of the rectangle that does not include the area of the circles? (7.9C, RS, RC3)

A company’s logo was designed using circles of 3 different sizes. The diameters of two of the circles are shown. Which measurement is closest to the area of the largest circle in square centimeters?

Betty is baking extra-large sized cookies, with triangles cut out of the center of the cookie. The diagram shows one of the cookies that Betty has made. What measurement is closest to the area of the cookie in square inches after Betty cuts out the triangles?

A utility line runs underground through Mr. Alarcon’s rectangular backyard. Mr. Alarcon is not allowed to dig within 3 feet of the utility line. The diagram below shows the dimensions of Mr. Alarcon’s backyard in feet. The dashed line represents the utility line. What is the area in square feet of the part of the backyard in which Mr. Alarcon is allowed to dig?