Quadratic Area Challenges: Solving Dimensions with Formulas

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: 5 meters, Length: 8 meters

• Width: 6 meters, Length: 9 meters

• Width: 8 meters, Length: 11 meters

A triangular park has a base that is 4 meters longer than its height. If the area of the park is 48 square meters, find the height and base of the park.

• Height: 10 meters, Base: 14 meters

• Height: 8 meters, Base: 12 meters

• Height: 5 meters, Base: 9 meters

• Height: 6 meters, Base: 10 meters

A square swimming pool has an area of 144 square meters. If the pool is to be surrounded by a walkway that is 2 meters wide, what will be the area of the walkway?

• 100 square meters

• 112 square meters

• 80 square meters

• 144 square meters

A rectangular field has a length that is twice its width. If the area of the field is 200 square meters, what are the dimensions of the field?

• Width: 5 meters, Length: 15 meters

• Width: 8 meters, Length: 16 meters

• Width: 12 meters, Length: 24 meters

• Width: 10 meters, Length: 20 meters

A rectangular piece of land has a width that is 5 meters less than its length. If the area of the land is 150 square meters, find the dimensions of the land.

• Length: 12 meters, Width: 7 meters

• Length: 20 meters, Width: 5 meters

• Length: 15 meters, Width: 10 meters

• Length: 18 meters, Width: 13 meters

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

• Width: 7 cm, Length: 11 cm

• Width: 6 cm, Length: 10 cm

• Width: 5 cm, Length: 9 cm

• Width: 8 cm, Length: 12 cm

A rectangular plot of land has a length that is 10 meters more than its width. If the area of the plot is 300 square meters, find the dimensions of the plot.

• Width: 10 meters, Length: 20 meters

• Width: 12 meters, Length: 22 meters

• Width: 5 meters, Length: 15 meters

• Width: 15 meters, Length: 25 meters

A rectangular garden has a width that is 2 meters less than its length. If the area of the garden is 50 square meters, what are the dimensions of the garden?

• Length: 7 meters, Width: 5 meters

• Length: 8 meters, Width: 6 meters

• Length: 10 meters, Width: 8 meters

• Length: 6 meters, Width: 4 meters

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

• Width: 5 feet, Length: 10 feet

• Width: 6 feet, Length: 11 feet

• Width: 3 feet, Length: 8 feet

• Width: 4 feet, Length: 9 feet

A rectangular fence encloses a garden that is 3 meters longer than it is wide. If the area of the garden is 54 square meters, what are the dimensions of the garden?

• Width: 5 meters, Length: 8 meters

• Width: 6 meters, Length: 9 meters

• Width: 4 meters, Length: 7 meters

• Width: 7 meters, Length: 10 meters