
Exploring Perimeters: Algebraic Relationships in Shapes
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 y meters. If another rectangular garden has a length of 2x meters and a width of 3y meters, what is the relationship between their perimeters?
The perimeters of both gardens are equal.
The perimeter of the first garden is greater than the perimeter of the second garden.
The perimeter of the second garden is half of the perimeter of the first garden.
The perimeter of the second garden is greater than the perimeter of the first garden.
Tags
CCSS.7.G.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The perimeter of a square is equal to the perimeter of a rectangle. If the side length of the square is s meters and the rectangle has a length of 2s meters and a width of s meters, express the perimeters algebraically and find the value of s.
s = 0
s = 1
s = 2s
s = -1
Tags
CCSS.8.EE.C.7B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two playgrounds have the same perimeter. The first playground is a rectangle with a length of 4x meters and a width of 3x meters. The second playground is a square. What is the side length of the square in terms of x?
3x
4x
3.5x
2.5x
Tags
CCSS.3.MD.D.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular pool has a length of 5 meters and a width of x meters. Another pool has a length of 3 meters and a width of y meters. If both pools have the same perimeter, write an equation to find the relationship between x and y.
x = y - 2
x = y + 2
x = 2y
x = y - 1
Tags
CCSS.3.MD.D.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has two fields. The first field is a rectangle with a length of 6 meters and a width of x meters. The second field is a square. If both fields have the same perimeter, express the side length of the square in terms of x.
5 + 0.5x
3 + 0.5x
2 + 0.5x
4 + 0.5x
Tags
CCSS.7.EE.B.4A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The perimeter of a rectangular room is 50 meters. If the length is 2x meters and the width is x meters, find the value of x and the dimensions of the room.
x = 10 meters; Length = 20 meters, Width = 10 meters.
x = 25/3 meters; Length = 50/3 meters, Width = 25/3 meters.
x = 15 meters; Length = 30 meters, Width = 15 meters.
x = 20 meters; Length = 40 meters, Width = 20 meters.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular box has a length of 3x cm and a width of 4 cm. Another box has a length of 2x cm and a width of 6 cm. If both boxes have the same perimeter, find the value of x.
4
3
5
2
Tags
CCSS.3.MD.D.8
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