Quadratic Equations in Real-World 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: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 8 meters, Length: 11 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: 10 meters, Width: 6 meters

• Length: 12 meters, Width: 8 meters

• Length: 8 meters, Width: 4 meters

• Length: 14 meters, Width: 10 meters

The area of a rectangular field is 120 square meters. If the length is twice the width, what are the dimensions of the field?

• Width: 3 meters, Length: 6 meters

• Width: 5 meters, Length: 10 meters

• Width: 2 * sqrt(15) meters, Length: 4 * sqrt(15) meters

• Width: 4 meters, Length: 8 meters

A square park has an area of 144 square meters. What is the length of one side of the park?

• 16 meters

• 10 meters

• 14 meters

• 12 meters

A rectangular plot of land has a length that is 5 meters more than twice its width. If the area is 100 square meters, find the dimensions of the plot.

• Width: 10 meters, Length: 25 meters

• Width: 12 meters, Length: 29 meters

• Width: 5 meters, Length: 15 meters

• Width: 8 meters, Length: 21 meters

A farmer wants to create a rectangular fenced area for his sheep. If the length is 10 meters more than the width and the area is 200 square meters, what are the dimensions of the fenced area?

• Width: 15 meters, Length: 25 meters

• Width: 12 meters, Length: 22 meters

• Width: 5 meters, Length: 15 meters

• Width: 10 meters, Length: 20 meters

The area of a rectangular classroom is 180 square meters. If the length is 6 meters more than the width, what are the dimensions of the classroom?

• Width: 12 meters, Length: 18 meters

• Width: 15 meters, Length: 21 meters

• Width: 10 meters, Length: 16 meters

• Width: 9 meters, Length: 15 meters

A rectangular garden has an area of 50 square meters. If the length is 2 meters less than twice the width, find the dimensions of the garden.

• Width: 8 meters, Length: 14 meters

• Width: 6.56 meters, Length: 11.12 meters

• Width: 7 meters, Length: 12 meters

• Width: 5 meters, Length: 10 meters

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

• Width: 5 meters, Length: 8 meters

• Width: 7 meters, Length: 10 meters

• Width: 4 meters, Length: 7 meters

• Width: 6 meters, Length: 9 meters

A rectangular piece of land has a length that is 4 meters longer than its width. If the area is 96 square meters, find the dimensions of the land.

• Width: 6 meters, Length: 10 meters

• Width: 10 meters, Length: 14 meters

• Width: 8 meters, Length: 12 meters

• Width: 5 meters, Length: 9 meters