Area of Compound Shapes

A 7-foot by 3-foot doorway is to be cut into a trapezoid-shaped wall as shown above. Find the area of the wall with the door cut out.

• 21 ft²

• 289 ft²

• 307 ft²

• 328 ft²

Mr. Brinkley has a triangular-shaped area for his horses with sides measuring 30 meters, 64 meters, and 87 meters. He would like to enclose this area with a fence. If the fencing comes in 2.5-meter sections, how many sections of fence will be needed?

• 68 sections

• 73 sections

• 94 sections

• 117 sections

Tags

CCSS.3.MD.D.8

An Olympic-sized pool measures 50 meters by 25 meters. If a coach asked his swimmers to swim around the pool three times, how far will they swim?

• 75 meters

• 125 meters

• 450 meters

• 1,250 meters

Tags

CCSS.4.MD.A.2

Mr. Humphrey needs to replace a broken window on her house. The window is shaped like a trapezoid with the dimensions shown above. If the glass costs $21.50 per square foot, how much will the replacement window cost?

• $21.50

• $80.63

• $129.00

• $387.00

Tags

CCSS.6.G.A.1

Plans for a rectangular garden will include a 2-foot wide cement walkway surrounding it, as show in the picture above. If concrete costs $4.50 per square foot, how much will it cost to fill the walkway?

• $989.00

• $1,152.00

• $3,762.00

• $4,158.00

Plans for a rectangular garden will include a 2-foot wide cement walkway surrounding it, as show in the picture above. For the holiday season, lights will be strung along each side of the walkway. If one box of lights will cover 10 feet of walkway, how many boxes are needed?

• 25 boxes

• 26 boxes

• 27 boxes

• 28 boxes

Tags

CCSS.4.MD.A.2

Mr. Marsh plans to tile the floor in his 6-foot by 8-foot front hall. If each tile is an 8-inch square, what is the minimum number of tiles needed to cover the floor?

• 48 tiles

• 67 tiles

• 99 tiles

• 108 tiles

Tags

CCSS.6.G.A.4

The total area of a picture frame, including the glass and 1.5-inch wide wooden frame, is 238 square inches. If the frame is 17 inches tall, what are the dimensions of the maximum picture size that will fit in the frame?

• 12 inches by 11 inches

• 14 inches by 11 inches

• 14 inches by 16 inches

• 16 inches by 13 inches

The intersection of three streets form a triangle as shown above. If Kelly decides to make this triangle her running route today, how far will she run?

• 6.5 miles

• 8.5 miles

• 15 miles

• 42.5 miles

Tags

CCSS.8.G.B.8

Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown above. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?

• 429.6 in²

• 789.6 in²

• 899.5 in²

• 12,888 in²

Tags

CCSS.6.G.A.1