Area and Perimeter Composite

A surveyor has been asked by the county to determine the area of the piece of land. The surveyor recorded a diagram and his measurements as shown above. Based on the diagram, which measure is closest to the area, to the nearest hundredth of a square foot, of the piece of land that the surveyor reported to the county?

• 3,420.48 ft²

• 3,846.88 ft²

• 4,262.88 ft²

• 4,689.28 ft²

Tags

CCSS.6.G.A.1

Which expression represents the area of the circle shown above?

Tags

CCSS.7.G.B.4

A circle with Radius r is divided into 8 congruent sections. The 8 sections are arranged as shown above, with l representing the length of the segments and w representing the width of the segments. The circle is then divided into 16 congruent sections, and the sections are arranged as shown. As the circle is divided into more and more congruent sections, which statement is true?

Tags

CCSS.7.G.B.4

The Barber's have a circular flowerbed in their front yard. The want to put fertilizer on half of the flowerbed. The flowerbed has a circumference of 8.5 feet. One bag of fertilizer will cover 6 square feet. How many bags of fertilizer will they need to cover half of the flowerbed?

• 5

• 10

• 28

• 56

Tags

CCSS.7.G.B.4

Find the Perimeter

• 74 in²

• 69 in²

• 82 in²

• 67 in²

Tags

CCSS.3.MD.D.8

Sienna is making a design with tiles. If each tile represents 4 square inches, what would be the area of the design?

• 92 in.²

• 128 in.²

• 256 in.²

• 512 in.²

Tags

CCSS.7.G.A.1

Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point C is the center of the partial circle that forms one corner of the stained glass piece. Which area is the closest to the area of the stained glass piece in square inches? Use 3.14 for

• 269.04 in.2

• 280.26 in.2

• 184.26 in.2

• 148.26 in.2

Emily wants to cover her kitchen floor with ceramic tile. The diagram above shows the layout of her kitchen. What is the area of her kitchen floor, in square feet, that will be covered with ceramic tile?

• 567 ft²

• 411 ft²

• 381 ft²

• 255 ft²

The circle above has a circumference of 28.26 feet. Which equation could be used to find r, the radius, in feet?

Tags

CCSS.7.G.B.4

What is the Perimeter of this Composite Figure?

• 44 cm

• 42 cm

• 35 cm

• 41 cm