Equal Perimeter Puzzles: Solve Linear Equations
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length of x meters and a width of 3 meters. If the perimeter of this garden is equal to the perimeter of a square garden with a side length of 5 meters, what is the value of x?
8
10
7
5
Tags
CCSS.3.MD.D.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two rectangles have equal perimeters. The first rectangle has a length of 2x + 1 and a width of x - 2. The second rectangle has a length of 3x and a width of 4. Set up an equation to find x.
x = 0
x = 3
x = 5
No solution exists for x.
Tags
CCSS.8.EE.C.7B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A park is designed in the shape of a rectangle with a length of 4x and a width of 2x. If the perimeter of the park is equal to 60 meters, what is the value of x?
5
10
8
3
Tags
CCSS.8.EE.C.7B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular swimming pool has a length of 10 meters and a width of y meters. If the perimeter of the pool is equal to the perimeter of a square pool with a side length of 8 meters, find y.
8
10
4
6
Tags
CCSS.7.EE.B.4A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The perimeter of a rectangular classroom is 50 meters. If the length is 5 meters more than twice the width, find the dimensions of the classroom.
Width: 10 meters, Length: 30 meters
Width: 15 meters, Length: 35 meters
Width: 25 meters, Length: 40 meters
Width: 20/3 meters, Length: 55/3 meters
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two adjacent rectangular fields have equal perimeters. The first field has dimensions of 3x and 4x. The second field has dimensions of 2x + 5 and 2x - 1. Write an equation to solve for x.
3/2
2
5/3
4/3
Tags
CCSS.8.EE.C.7B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular plot of land has a length of 12 meters and a width of x meters. If the perimeter of this plot is equal to the perimeter of a square plot with a side length of 10 meters, what is x?
8
12
6
10
Tags
CCSS.7.EE.B.4A
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