7th Grade Perimeter & Linear Equations Challenge

A rectangular garden has a length of 10 meters and a width of 5 meters. Write a linear equation to represent the perimeter of the garden and calculate its perimeter.

• 30 meters

• 25 meters

• 20 meters

• 15 meters

A fence is to be built around a square playground. If each side of the playground is represented by the variable x, write a linear equation for the perimeter and find the perimeter when x = 8 meters.

• 32 meters

• 24 meters

• 40 meters

• 16 meters

Maria wants to create a rectangular flower bed. If the length is 3 meters more than twice the width, write a linear equation for the perimeter and find the perimeter when the width is 4 meters.

• 30 meters

• 18 meters

• 36 meters

• 24 meters

A rectangular swimming pool has a length that is 4 meters longer than its width. If the width is represented by w, write a linear equation for the perimeter and calculate the perimeter when w = 6 meters.

• 32 meters

• 36 meters

• 28 meters

• 24 meters

A triangular park has sides of lengths 5 meters, 7 meters, and 9 meters. Write a linear equation to express the perimeter and calculate the total perimeter of the park.

• The total perimeter of the park is 19 meters.

• The total perimeter of the park is 25 meters.

• The total perimeter of the park is 21 meters.

• The total perimeter of the park is 18 meters.

The perimeter of a rectangular classroom is 50 meters. If the length is 5 meters more than the width, write a linear equation to find the dimensions of the classroom and calculate the perimeter.

• Width: 5 meters, Length: 10 meters, Perimeter: 30 meters

• Width: 10 meters, Length: 15 meters, Perimeter: 50 meters

• Width: 8 meters, Length: 13 meters, Perimeter: 42 meters

• Width: 12 meters, Length: 17 meters, Perimeter: 58 meters

A rectangular field has a perimeter of 80 meters. If the length is represented by l and the width by w, and l = 2w, write a linear equation and find the dimensions of the field.

• Length: 30 meters, Width: 10 meters

• Length: 20 meters, Width: 20 meters

• Length: 26.67 meters, Width: 13.33 meters

• Length: 25 meters, Width: 15 meters

A rectangular box has a length of 12 cm and a width that is half of the length. Write a linear equation for the perimeter and calculate the perimeter of the box.

• 42 cm

• 30 cm

• 24 cm

• 36 cm

A garden is in the shape of a rectangle with a length of 15 meters and a width of 10 meters. Write a linear equation for the perimeter and find the perimeter of the garden.

• 40 meters

• 50 meters

• 60 meters

• 30 meters

A rectangular sign has a width of 4 feet and a length that is twice the width. Write a linear equation for the perimeter and calculate the perimeter of the sign.

• 24 feet

• 28 feet

• 16 feet

• 20 feet