Area of Composite Shapes

What is the area of the shaded region?

• 20 sq cm

• 4 sq cm

• 30 sq cm

• 24 sq cm

Tags

CCSS.3.MD.C.7D

To promote recycling, the ground of the neighborhood sandbox is being covered with shredded tires . The sandbox will not be covered.
What is the area of the shredded tire portion of the playground?

• 3600 feet²

• 450 feet²

• 1342 feet²

• 3150 feet²

What is the area of the unshaded region?

Tags

CCSS.6.G.A.1

The Wilson’s new pool shed is shown below. Mrs. Wilson wants to paint it a turquoise color to match the pool’s tile. Find the area that needs to be painted, not including the door which is 1.0 m wide.

• 3.6 m²

• 4.6 m²

• 2.9 m²

• 5.6 m²

What is the area of the figure shown?

• 40 sq. cm

• 80 sq. cm

• 116 sq. cm

• 65.5 sq. cm

Tags

CCSS.6.G.A.1

A rectangular garden measuring 20 meters by 15 meters has a circular pond with a radius of 3 meters at its center. What is the area of the remaining garden space after excluding the pond?

A square and a semicircle share the same base. The side of the square is 10 cm. Calculate the total area of the composite shape.

A floor is covered with tiles in the shape of right triangles. Each tile has legs of 3 feet and 4 feet. If 50 tiles are used, what is the total area covered by the tiles?

Tags

CCSS.6.G.A.1

A composite figure is formed by a rectangle and a semicircle protruding from one of the shorter sides. The rectangle measures 14 cm by 9 cm, and the diameter of the semicircle is 9 cm. Calculate the total area of the figure.

A park in the shape of a rectangle has a path 3 meters wide running along one of its longer sides and ending in a semicircular turn with a radius of 3 meters. If the rectangle measures 50 m by 20 m, what is the area of the park excluding the path?