Solving Quadratic Area Problems for 8th Graders

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: 7 meters, Length: 10 meters

• Width: 8 meters, Length: 11 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

The length of a rectangular swimming pool is twice its width. If the area of the pool is 288 square meters, what are the dimensions of the pool?

• Width: 10 meters, Length: 20 meters

• Width: 8 meters, Length: 16 meters

• Width: 12 meters, Length: 24 meters

• Width: 15 meters, Length: 30 meters

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

• Length: 15 meters, Width: 10 meters

• Length: 20 meters, Width: 5 meters

• Length: 12 meters, Width: 12 meters

• Length: 10 meters, Width: 15 meters

The width of a rectangular classroom is 4 meters less than its length. If the area of the classroom is 96 square meters, what are the dimensions of the classroom?

• Length: 10 meters, Width: 6 meters

• Length: 12 meters, Width: 8 meters

• Length: 14 meters, Width: 10 meters

• Length: 8 meters, Width: 4 meters

A rectangular plot of land has a length that is 6 meters more than its width. If the area of the plot is 120 square meters, determine the length and width of the plot.

• Width: 10 meters, Length: 16 meters

• Width: 9 meters, Length: 15 meters

• Width: 8 meters, Length: 14 meters

• Width: 12 meters, Length: 18 meters

The length of a rectangular painting is 2 meters more than its width. If the area of the painting is 48 square meters, what are the dimensions of the painting?

• Width: 4 meters, Length: 6 meters

• Width: 7 meters, Length: 9 meters

• Width: 5 meters, Length: 7 meters

• Width: 6 meters, Length: 8 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 meters, what are the dimensions of the base?

• Length: 15 meters, Width: 5 meters

• Length: 20 meters, Width: 5 meters

• Length: 12 meters, Width: 4 meters

• Length: 10 meters, Width: 7.5 meters

The width of a rectangular driveway is 2 meters less than its length. If the area of the driveway is 80 square meters, find the length and width of the driveway.

• Length: 10 meters, Width: 8 meters

• Length: 8 meters, Width: 6 meters

• Length: 12 meters, Width: 10 meters

• Length: 9 meters, Width: 7 meters

A rectangular room has a length that is 4 meters longer than its width. If the area of the room is 60 square meters, what are the dimensions of the room?

• Width: 8 meters, Length: 12 meters

• Width: 6 meters, Length: 10 meters

• Width: 5 meters, Length: 9 meters

• Width: 7 meters, Length: 11 meters

The length of a rectangular garden is 5 meters less than three times its width. If the area of the garden is 100 square meters, find the length and width of the garden.

• Width: 12 meters, Length: 30 meters

• Width: 8 meters, Length: 20 meters

• Width: 10 meters, Length: 25 meters

• Width: 5 meters, Length: 15 meters