Quadratic Area Problems: Interpretation & Graphing

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: 6 meters, Length: 9 meters

• Width: 7 meters, Length: 10 meters

• Width: 5 meters, Length: 8 meters

A rectangular swimming pool is designed to have an area of 120 square meters. If the width is 4 meters less than the length, what are the dimensions of the pool?

• Length: 12 meters, Width: 8 meters

• Length: 10 meters, Width: 6 meters

• Length: 16 meters, Width: 12 meters

• Length: 14 meters, Width: 10 meters

A farmer wants to create a rectangular field with an area of 200 square meters. If the length is twice the width, what are the dimensions of the field?

• Width: 10 meters, Length: 20 meters

• Width: 12 meters, Length: 24 meters

• Width: 5 meters, Length: 15 meters

• Width: 8 meters, Length: 16 meters

A rectangular plot of land has an area of 150 square meters. If the length is 5 meters more than the width, find the dimensions of the plot. Graph the quadratic equation that represents this situation.

• Width: 8 meters, Length: 13 meters

• Width: 12 meters, Length: 17 meters

• Width: 10 meters, Length: 15 meters

• Width: 5 meters, Length: 10 meters

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

• Width: 5 meters, Length: 7 meters

• Width: 5.55 meters, Length: 9.1 meters

• Width: 6 meters, Length: 10 meters

• Width: 4 meters, Length: 8 meters

A rectangular garden has an area of 96 square meters. If the length is 4 meters more than the width, find the dimensions of the garden and graph the quadratic function that represents the area.

• Length: 10 meters, Width: 6 meters

• Length: 14 meters, Width: 10 meters

• Length: 8 meters, Width: 4 meters

• Length: 12 meters, Width: 8 meters

A rectangular box has a length that is 3 times its width. If the area of the base of the box is 75 square meters, what are the dimensions of the base?

• Length: 12 meters, Width: 4 meters

• Length: 15 meters, Width: 5 meters

• Length: 20 meters, Width: 5 meters

• Length: 10 meters, Width: 7.5 meters

A rectangular park has a length that is 6 meters longer than its width. If the area of the park is 144 square meters, determine the dimensions of the park and graph the quadratic equation.

• Width: 8 meters, Length: 14 meters

• Width: 12 meters, Length: 18 meters

• Width: 10 meters, Length: 16 meters

• Width: 14 meters, Length: 20 meters

A rectangular field has an area of 180 square meters. If the length is 10 meters more than the width, find the dimensions of the field and interpret the results in a real-world context.

• Width: 5 meters, Length: 15 meters

• Width: 8 meters, Length: 18 meters

• Width: 7 meters, Length: 17 meters

• Width: 6 meters, Length: 16 meters

A rectangular garden has an area of 50 square meters. If the length is 5 meters more than the width, find the dimensions of the garden and graph the quadratic function that models the area.

• Width: 4 meters, Length: 9 meters

• Width: 6 meters, Length: 11 meters

• Width: 7 meters, Length: 12 meters

• Width: 5 meters, Length: 10 meters