Unit 9 ACT Activity Day

The perimeter of rectangle ABCD is 96 cm. The ratio of the side lengths AB:BC is 3:5. What is the length, in centimeters, of AB?

• 6

• 18

• 30

• 35

• 60

For triangle ABC shown below, base AC has a length of 16 inches and an altitude BD of 8 inches. The area of a certain square is equal to the area of triangle ABC. What is the length, in inches, of a side of the square?

• 6

• 8

• 12

• 16

• 32

The figure below shows quadrilateral ABCD. What is the measure of angle C?

• 120°

• 115°

• 105°

• 100°

• 80°

In the standard (x, y) coordinate plane below, the points (0, 0), (10, 0), (13, 6), and (3, 6) are the vertices of a parallelogram. What is the area, in square coordinate units, of the parallelogram?

• 30

• 60

• 30√3

• 30√5

• 60√5

The 8-sided figure below is divided into 5 congruent squares. The total area of the 5 squares is 125 square inches. What is the perimeter, in inches, of the figure?

• 25

• 60

• 80

• 100

• 125

What is the area, in square feet, of the figure below?

• 60

• 80

• 275

• 375

• 450

Pentagons have 5 diagonals, as illustrated below. How many diagonals does the octagon below have?

• 8

• 16

• 20

• 30

• 40

The rectangle shown in the figure below is partitioned into 3 triangles, 2 of which are shaded. What is the total area, in square inches, of the 2 shaded regions?

• 20

• 24

• 32

• 40

• 80

A parallelogram has a perimeter of 84 inches, and 1 of its sides measures 16 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides?

• 16, 16, 36

• 16, 18, 18

• 16, 26, 26

• 16, 34, 34

• It cannot be determined

Shown below is a regular hexagon inscribed in a circle whose radius is 4 inches. What is the perimeter, in inches of the hexagon?

• 8π

• 12√3

• 18

• 20

• 24