Real-Life Quadratic Equations: Dimensions & Solutions

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: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

The area of a triangular park is given by the formula A = 1/2 * base * height. If the base is 4 meters longer than the height and the area is 48 square meters, find the dimensions of the park.

• Height: 6 meters, Base: 10 meters

• Height: 10 meters, Base: 14 meters

• Height: 8 meters, Base: 12 meters

• Height: 5 meters, Base: 9 meters

A rectangular swimming pool has a width that is 2 meters less than its length. If the area of the pool is 120 square meters, what are the dimensions of the pool?

• Length: 10 meters, Width: 8 meters

• Length: 15 meters, Width: 13 meters

• Length: 12 meters, Width: 10 meters

• Length: 14 meters, Width: 12 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: 10 meters

• Width: 15 meters, Length: 30 meters

• Width: 10 meters, Length: 20 meters

• Width: 8 meters, Length: 16 meters

The area of a square is represented by the equation A = x^2. If the area is 64 square meters, what is the length of one side of the square?

• 10 meters

• 12 meters

• 8 meters

• 6 meters

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

• Width: 12 meters, Length: 17 meters

• Width: 5 meters, Length: 10 meters

• Width: 8 meters, Length: 13 meters

• Width: 10 meters, Length: 15 meters

A garden is in the shape of a rectangle. The length is 4 meters more than twice the width. If the area of the garden is 96 square meters, what are the dimensions of the garden?

• Width: 5 meters, Length: 14 meters

• Width: 8 meters, Length: 20 meters

• Width: 4 meters, Length: 12 meters

• Width: 6 meters, Length: 16 meters

A rectangular room has a length that is 3 feet longer than its width. If the area of the room is 54 square feet, what are the dimensions of the room?

• Width: 6 feet, Length: 9 feet

• Width: 7 feet, Length: 10 feet

• Width: 5 feet, Length: 8 feet

• Width: 4 feet, Length: 7 feet

The area of a rectangle is given by the equation A = lw. If the length is 6 meters more than the width and the area is 72 square meters, find the dimensions of the rectangle.

• Width: 5 meters, Length: 11 meters

• Width: 4 meters, Length: 10 meters

• Width: 8 meters, Length: 14 meters

• Width: 6 meters, Length: 12 meters

A rectangular box has a length that is 3 inches longer than its width. If the area of the base of the box is 40 square inches, what are the dimensions of the base?

• Width: 5 inches, Length: 10 inches

• Width: 6 inches, Length: 9 inches

• Width: 4 inches, Length: 7 inches

• Width: 5 inches, Length: 8 inches