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

Tags

CCSS.3.MD.D.8

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.3.MD.D.8

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

Tags

CCSS.3.MD.D.8

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

Tags

CCSS.3.MD.D.8

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

Tags

CCSS.3.MD.D.8

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.3.MD.D.8

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.4.MD.A.3

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.7.G.A.1

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.3.MD.D.8