WorksheetsPerimeter & Line Segments on the ACT
Total questions: 15
Worksheet time: 32mins
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
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
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
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
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
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
On the line segment, the ratio of the length of TU to the length of UV is 4:7. If it can be determined, what is the ratio of the length of TU to the length of TV?
1:7
2:11
4:11
11:4
Cannot be determined from the given information
Points X and Y lie on line WZ. The length of WZ is 36 inches; WY is 16 inches long; and XZ is 28 inches long. How many inches long, if it can be determined, is XY?
4
8
12
16
Cannot be determined from the given information
In the figure, each pair of intersecting line segments meets at a right angle, and all lengths are given in millimeters. What is the perimeter, in millimeters, of the figure?
80
88
96
102
116
Quadrilateral WXYZ is in the standard (x,y) coordinate plane. For this quadrilateral, WZ = 7, YZ = 6, XY = the square root of 53, and WX = 8, all in coordinate units. Which of the following is closest to the perimeter of quadrilateral WXYZ, in coordinate units?
22.6
25.7
28.3
31.4
35.8
The perimeter of a parallelogram is 76 inches, and the measure of 1 side is 17 inches. What are the lengths of the 3 remaining sides?
17, 17, 17
17, 17, 42
17, 20, 20
17, 21, 21
Cannot be determined from the given information
