Solving Real-Life Quadratics: Dimensions Challenge

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

A rectangular swimming pool has a width that is 4 meters less than its length. If the area of the pool is 96 square meters, find the length and width of the pool.

• Length: 12 meters, Width: 8 meters

• Length: 14 meters, Width: 10 meters

• Length: 8 meters, Width: 4 meters

• Length: 10 meters, Width: 6 meters

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

• Height: 9 meters, Base: 11 meters

• Height: 10 meters, Base: 12 meters

• Height: 7 meters, Base: 9 meters

• Height: 8 meters, Base: 10 meters

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

• Width: 15 meters, Length: 30 meters

• Width: 10 meters, Length: 20 meters

• Width: 8 meters, Length: 16 meters

• Width: 5 meters, Length: 10 meters

A rectangular piece of land has a length that is 5 meters more than its width. If the area of the land is 60 square meters, find the dimensions of the land.

• Width: 6 meters, Length: 11 meters

• Width: 5 meters, Length: 10 meters

• Width: 4 meters, Length: 9 meters

• Width: 7 meters, Length: 12 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 48 square inches, what are the dimensions of the base?

• Width: 5 inches, Length: 9 inches

• Width: 3 inches, Length: 7 inches

• Width: 4 inches, Length: 8 inches

• Width: 6 inches, Length: 10 inches

The area of a square is 144 square meters. If the length of one side is increased by 2 meters, what will be the new area of the square?

• 144 square meters

• 196 square meters

• 256 square meters

• 100 square meters

A rectangular plot of land has a width that is 3 meters less than its length. If the area of the plot is 50 square meters, find the dimensions of the plot.

• Length: 9 meters, Width: 6 meters

• Length: 12 meters, Width: 9 meters

• Length: 10 meters, Width: 7 meters

• Length: 8 meters, Width: 5 meters

A garden is in the shape of a rectangle. If the length is 6 meters more than the width and the area is 72 square meters, what are the dimensions of the garden?

• Width: 4 meters, Length: 10 meters

• Width: 8 meters, Length: 14 meters

• Width: 5 meters, Length: 11 meters

• Width: 6 meters, Length: 12 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: 3 feet, Length: 8 feet

• Width: 6 feet, Length: 11 feet

• Width: 4 feet, Length: 9 feet