Perimeter & Line Segments on the ACT

The Summerdale Community Council is planning the renovation of a park in the center of the town. The park will be a rectangular region of 85 feet by 175 feet with an area of 14,875 square feet. There will be a wooden fence along the perimeter of the park. What is the total length of the fence, in feet?

• 250

• 340

• 410

• 480

• 520

The length of a rectangle is 8 inches longer than its width. If the perimeter of the rectangle is 36 inches, what is the width, in inches?

• 13

• 10

• 5

• 4

• 3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

The figure is composed of equilateral triangle ABD and another equilateral triangle BCD. The length of line AD is 12 inches. What is the perimeter of figure ABCD?

• 12

• 24

• 44

• 48

• 60

A certain square has the same perimeter as a regular pentagon (a 5-sided polygon with all sides and interior angles congruent). If 1 side of the pentagon is 72 millimeters, how long is 1 side of this square?

• 45

• 60

• 75

• 90

• 135

This polygon, whose side lengths are given in meters, has 2 unknown sides. Each angle between adjacent sides measure 90 degrees. What is the polygon's perimeter, in meters?

• 44

• 62

• 80

• 158

• 234

Joseph is constructing a rectangular fence for his garden. A diagram of the fence is shown. Which of the following expressions gives the perimeter of Joseph's fence?

• 3x + 5

• 3x + 10

• 6x + 10

• 6x + 20

• 2x squared + 11x - 6

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.6

Points A, B, C, and D lie on a line in the given order. Point C is the midpoint of line BD, line AC is 10mm long, and line AD is 15mm long. How many millimeters long is line BD?

• 5

• 8

• 10

• 12

• 15

Tags

CCSS.6.RP.A.3

Justin is centering a mosaic on his bedroom wall. As shown in the figure, the rectangular wall is 28 feet in length, and the mosaic is 3 feet in height and 6 feet in length. The right edge of the mosaic will be y feet from the right edge of the wall, and the left edge of the mosaic will also be y feet from the left edge of the wall. What is the value of y, in feet?

• 9

• 10

• 10.5

• 11

• 12.5

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

For the line segment, the ratio of the length of XY to the length of YZ is 1:6. If it can be determined, what is the ratio of the length of XY to the length of XZ?

• 1:5

• 1:7

• 3:1

• 7:1

• Cannot be determined from the given information

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3

A triangle ABC has a perimeter of 53 centimeters with a side that is 18 centimeters long. The lengths of the remaining two sides have a ratio of 3:4. What is the length, in centimeters, of the shortest side of the triangle?

• 15

• 18

• 20

• 36

• 40

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3