Equal Perimeter Puzzles: Solve Linear Equations

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?

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• 10

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• 5

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.

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?

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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.

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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

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

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?

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A rectangular fence has a length of 2x + 3 and a width of x + 1. If the perimeter of the fence is equal to 40 meters, find the value of x.

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• 20

• 16/3

A rectangular room has a length of 3x + 2 and a width of 2x - 1. If the perimeter of the room is equal to 50 meters, determine the value of x.

• 5.5

• 3.2

• 6.1

• 4.8

Two rectangular tables have equal perimeters. The first table has a length of 5x and a width of 2x. The second table has a length of 3x + 4 and a width of 4. Set up an equation to find x.

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