Quadratic Dimensions: Area & Perimeter Challenges

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?

• Width: 8 meters, Length: 11 meters

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

A rectangular swimming pool has a length that is twice its width. If the perimeter of the pool is 60 meters, what are the dimensions of the pool?

• Width: 5 meters, Length: 15 meters

• Width: 12 meters, Length: 24 meters

• Width: 8 meters, Length: 16 meters

• Width: 10 meters, Length: 20 meters

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CCSS.3.MD.D.8

A rectangular field has a length that is 5 meters more than twice its width. If the area of the field is 150 square meters, find the dimensions of the field.

• Width: 10 meters, Length: 25 meters

• Width: 5 meters, Length: 15 meters

• Width: 12 meters, Length: 29 meters

• Width: 8 meters, Length: 21 meters

A rectangular plot of land has a width of x meters and a length of (x + 4) meters. If the area of the plot is 96 square meters, find the value of x and the dimensions of the plot.

• Width: 6 meters, Length: 10 meters

• Width: 8 meters, Length: 12 meters

• Width: 10 meters, Length: 14 meters

• Width: 4 meters, Length: 8 meters

A rectangular room has a length that is 4 feet longer than its width. If the perimeter of the room is 28 feet, what are the dimensions of the room?

• Width: 5 feet, Length: 9 feet

• Width: 7 feet, Length: 11 feet

• Width: 6 feet, Length: 10 feet

• Width: 4 feet, Length: 8 feet

A rectangular fence is to be built around a garden. The length of the garden is 2 meters more than its width. If the area of the garden is 48 square meters, what are the dimensions of the garden?

• Width: 4 meters, Length: 10 meters

• Width: 6 meters, Length: 8 meters

• Width: 7 meters, Length: 9 meters

• Width: 5 meters, Length: 9 meters

A rectangular box has a length that is 3 times its width. If the area of the base of the box is 75 square feet, what are the dimensions of the base?

• Length: 10 feet, Width: 7.5 feet

• Length: 20 feet, Width: 3 feet

• Length: 12 feet, Width: 6 feet

• Length: 15 feet, Width: 5 feet

A rectangular park has a length that is 10 meters longer than its width. If the perimeter of the park is 80 meters, find the dimensions of the park.

• Width: 15 meters, Length: 25 meters

• Width: 12 meters, Length: 22 meters

• Width: 20 meters, Length: 30 meters

• Width: 10 meters, Length: 20 meters

A rectangular piece of land has a width of x meters and a length of (2x - 3) meters. If the area of the land is 45 square meters, find the dimensions of the land.

• Width: 4 meters, Length: 12 meters

• Width: 5 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 7 meters, Length: 8 meters

A rectangular classroom has a length that is 5 feet longer than its width. If the area of the classroom is 60 square feet, what are the dimensions of the classroom?

• Width: 6 feet, Length: 11 feet

• Width: 5 feet, Length: 12 feet

• Width: 5 feet, Length: 10 feet

• Width: 4 feet, Length: 9 feet