Solving Word Problems: Factoring Polynomials in Context

A gardener has a rectangular garden with an area of 48 square meters. If the length of the garden is 4 meters more than its width, what are the dimensions of the garden?

• Width: 4 meters, Length: 8 meters

• Width: 3 meters, Length: 7 meters

• Width: 5 meters, Length: 9 meters

• Width: 6 meters, Length: 10 meters

A rectangle has a length that is 3 meters longer than its width. If the area of the rectangle is 40 square meters, what are the dimensions of the rectangle?

• Width: 3 meters, Length: 6 meters

• Width: 5 meters, Length: 8 meters

• Width: 4 meters, Length: 7 meters

• Width: 6 meters, Length: 9 meters

A school is planning to build a rectangular playground. The length is twice the width. If the area of the playground is 72 square meters, what are the dimensions?

• Width: 4 meters, Length: 8 meters

• Width: 7 meters, Length: 14 meters

• Width: 5 meters, Length: 10 meters

• Width: 6 meters, Length: 12 meters

A farmer has a rectangular field. The length is 5 meters longer than the width. If the area of the field is 60 square meters, what are the dimensions of the field?

• Width: 5 meters, Length: 10 meters

• Width: 7 meters, Length: 12 meters

• Width: 6 meters, Length: 11 meters

• Width: 4 meters, Length: 9 meters

A rectangular pool has a length that is 2 meters longer than its width. If the area of the pool is 30 square meters, what are the dimensions of the pool?

• Width: 6 meters, Length: 8 meters

• Width: 4 meters, Length: 6 meters

• Width: 3 meters, Length: 5 meters

• Width: 5 meters, Length: 7 meters

A rectangular picture frame has a width that is 2 inches less than its length. If the area of the frame is 24 square inches, what are the dimensions of the frame?

• Length: 6 inches, Width: 4 inches

• Length: 5 inches, Width: 3 inches

• Length: 8 inches, Width: 6 inches

• Length: 4 inches, Width: 2 inches

A rectangular plot of land has a length that is 4 meters longer than its width. If the area of the plot is 96 square meters, what are the dimensions of the plot?

• Width: 8 meters, Length: 12 meters

• Width: 5 meters, Length: 9 meters

• Width: 10 meters, Length: 14 meters

• Width: 6 meters, Length: 10 meters

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

• Width: 6 meters, Length: 9 meters

• Width: 7 meters, Length: 10 meters

• Width: 5 meters, Length: 8 meters

• Width: 4 meters, Length: 7 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: 3 feet, Length: 8 feet

• Width: 4 feet, Length: 9 feet

• Width: 6 feet, Length: 11 feet

• Width: 5 feet, Length: 10 feet

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

• Width: 6 inches, Length: 12 inches

• Width: 5 inches, Length: 11 inches

• Width: 8 inches, Length: 14 inches

• Width: 4 inches, Length: 10 inches