Solving Quadratic Word Problems: Area and Dimensions

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: 8 meters, Length: 11 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 length is twice the width, what are the dimensions of the pool?

• Width: 8 meters, Length: 16 meters

• Width: 6 meters, Length: 12 meters

• Width: 10 meters, Length: 20 meters

• Width: 7.75 meters, Length: 15.5 meters

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

• Width: 8 meters, Length: 21 meters

• Width: 5 meters, Length: 15 meters

• Width: 12 meters, Length: 29 meters

• Width: 10 meters, Length: 25 meters

A rectangular plot of land has an area of 200 square meters. If the length is 10 meters more than the width, what are the dimensions of the plot?

• Width: 15 meters, Length: 25 meters

• Width: 12 meters, Length: 22 meters

• Width: 5 meters, Length: 15 meters

• Width: 10 meters, Length: 20 meters

A farmer wants to create a rectangular pen for his sheep. If the width is 4 meters less than the length and the area is 96 square meters, what are the dimensions of the pen?

• Length: 12 meters, Width: 8 meters

• Length: 8 meters, Width: 4 meters

• Length: 14 meters, Width: 10 meters

• Length: 10 meters, Width: 6 meters

A rectangular piece of land has a length that is 6 meters longer than its width. If the area is 72 square meters, what are the dimensions of the land?

• Width: 5 meters, Length: 11 meters

• Width: 4 meters, Length: 10 meters

• Width: 8 meters, Length: 10 meters

• Width: 6 meters, Length: 12 meters

A rectangular garden has an area of 50 square meters. If the length is 5 meters more than the width, what are the dimensions of the garden?

• Width: 7 meters, Length: 12 meters

• Width: 5 meters, Length: 10 meters

• Width: 6 meters, Length: 11 meters

• Width: 4 meters, Length: 9 meters

A rectangular park has a length that is 8 meters longer than its width. If the area of the park is 144 square meters, what are the dimensions of the park?

• Width: 8 meters, Length: 16 meters

• Width: 10 meters, Length: 18 meters

• Width: 6 meters, Length: 14 meters

• Width: 12 meters, Length: 20 meters

A rectangular room has a length that is 2 meters longer than its width. If the area of the room is 60 square meters, what are the dimensions of the room?

• Width: 4 meters, Length: 6 meters

• Width: 8 meters, Length: 10 meters

• Width: 5 meters, Length: 7 meters

• Width: 6 meters, Length: 8 meters

A rectangular lot has an area of 180 square meters. If the length is 3 meters less than twice the width, what are the dimensions of the lot?

• Width: 10 meters, Length: 30 meters

• Width: 15 meters, Length: 27 meters

• Width: 12 meters, Length: 21 meters

• Width: 9 meters, Length: 21 meters