Area of Composite Figures

*A utility line runs underground through Shayne’s rectangular backyard. Shayne is not allowed to dig within 3 feet of the utility line. The diagram below shows the dimensions of Shayne’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 Shayne is allowed to dig?

• 272 ft²

• 374 ft²

• 102 ft²

• 59 ft²

*Landyn used a semicircle, a rectangle, and a right triangle to form the figure shown.

Which is the best estimate of the area of the figure in square centimeters?

• 52 cm²

• 44 cm²

• 26 cm²

• 38 cm²

*An advertising banner has four sections, as modeled below. Two sections are congruent trapezoids, and two sections are congruent right triangles.

Which measurement is the best estimate of the area of the banner in square meters?

• 6 m2

• 15 m2

• 8 m2

• 10 m2

Find the area of the figure shown.

• 34 units²

• 960 units²

• 220 units²

• 480 units²

What is the area of the shaded region?

• 14 m²

• 120 m²

• 106 m²

• 134 m²

Calculate the area.

• 50 cm ²

• 43 cm ²

• 33 cm ²

• 40 cm ²

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