ACT Practice - area, perimeter, circumference

Adjacent segments in the hexagon are perpendicular, and 4 segments are each 3 yards long, as marked. What is the perimeter of the hexagon, in yards?

• 12

• 18

• 24

• 27

• 30

In a certain triangle, the longest side is 1 foot longer than the second longest side, and the second longest side is 1 foot longer than the shortest side. If the perimeter is 21 feet, how many feet long is the shortest side?

• 6

• 7

• 8

• 9

• 10

• 441

• 467

• 515

• 655

• 675

Anna wants to completely cover the rectangular ceiling of her own room with soundproof tile so she can play her stereo as loudly as she wants. Her ceiling is 16 ft. long and 10 ft. wide. The tiles are 2 ft. by 2 ft. squares. How many tiles does Anna need to cover her ceiling with one layer of soundproof tiles?

• 20

• 26

• 40

• 52

• 80

The perimeter of a parallelogram is 72 inches, and one side measures 12 inches. What are the lengths, in inches, of the other three sides?

• 12, 12, 36

• 12, 18, 18

• 12, 24, 24

• 12, 30, 30

• Cannot be determined

• 36

• 48

• 72

• 96

• 14

• 28

• 57

• 113

• 254

• 283

The rectangle pictured has lengths as marked in units. What is the area, in square units, of the shaded triangle?

• 16

• 20

• 25

• 32

• 40

In rectangle ADFI, the 10 labeled points are equally spaced along the perimeter. What is the ratio of the shaded area to the area of the entire rectangle?