Quadratic Challenges: Area & Perimeter for Grade 9

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: 6 meters, Length: 9 meters

• Width: 7 meters, Length: 10 meters

• Width: 5 meters, Length: 8 meters

• Width: 8 meters, Length: 11 meters

A square park has a perimeter of 64 meters. What is the area of the park?

• 128 square meters

• 32 square meters

• 64 square meters

• 256 square meters

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

• Width: 12 meters, Length: 24 meters

• Width: 8 meters, Length: 16 meters

• Width: 15 meters, Length: 30 meters

• Width: 10 meters, Length: 20 meters

A rectangular field has a length that is 5 meters more than twice its width. If the perimeter of the field is 70 meters, what are the dimensions of the field?

• Width: 8 meters, Length: 21 meters

• Width: 12 meters, Length: 29 meters

• Width: 5 meters, Length: 15 meters

• Width: 10 meters, Length: 25 meters

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

• Height: 5 meters, Base: 9 meters

• Height: 8 meters, Base: 12 meters

• Height: 10 meters, Base: 14 meters

• Height: 6 meters, Base: 10 meters

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

• Length: 10 meters, Width: 8 meters

• Length: 12 meters, Width: 10 meters

• Length: 9 meters, Width: 7 meters

• Length: 8 meters, Width: 6 meters

The area of a rectangular garden is 120 square meters. If the length is 10 meters, what is the width of the garden?

• 10 meters

• 15 meters

• 8 meters

• 12 meters

A rectangular fence is to be built around a garden. If the length is 3 meters more than the width and the perimeter is 30 meters, what are the dimensions of the garden?

• Width: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 4 meters, Length: 7 meters

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

• Width: 8 inches, Length: 12 inches

• Width: 7 inches, Length: 11 inches

• Width: 5 inches, Length: 9 inches

• Width: 6 inches, Length: 10 inches

A rectangular plot of land has a length that is 6 meters longer than its width. If the area of the plot is 72 square meters, find the dimensions of the plot.

• Width: 6 meters, Length: 12 meters

• Width: 5 meters, Length: 11 meters

• Width: 4 meters, Length: 10 meters

• Width: 8 meters, Length: 10 meters