Factoring Trinomials: Real-Life Area and Volume Problems

A rectangular garden has an area of 60 square meters. If the length is 5 meters more than the width, what are the dimensions of the garden?

• 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 box is designed to have a volume of 120 cubic centimeters. If the length is twice the width and the height is 3 centimeters less than the width, what are the dimensions of the box?

• Length: 10 cm, Width: 5 cm, Height: 2 cm

• Length: 14 cm, Width: 7 cm, Height: 4 cm

• Length: 12 cm, Width: 6 cm, Height: 3 cm

• Length: 8 cm, Width: 4 cm, Height: 1 cm

The area of a triangular park is represented by the expression x^2 + 7x + 10. If the base of the triangle is x + 5, what is the height of the triangle?

• 2(x + 2)

• x^2 + 5x

• 3(x + 1)

• x + 5

A rectangular pool has a length that is 4 meters longer than its width. If the area of the pool is 60 square meters, what are the dimensions of the pool?

• Width: 6 meters, Length: 10 meters

• Width: 7 meters, Length: 11 meters

• Width: 5 meters, Length: 9 meters

• Width: 8 meters, Length: 12 meters

A farmer has a rectangular field with an area of 72 square meters. If the length is 3 meters less than twice the width, what are the dimensions of the field?

• Width: 9 meters, Length: 15 meters

• Width: 10 meters, Length: 18 meters

• Width: 8 meters, Length: 14 meters

• Width: 6 meters, Length: 12 meters

The product of two consecutive integers is 72. What are the integers?

• 9 and 10

• 7 and 8

• 8 and 9

• 6 and 7

A rectangular piece of land has a length that is 3 meters longer than its width. If the area of the land is 70 square meters, what are the dimensions of the land?

• 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 garden has a length that is 2 meters longer than its width. If the area of the garden is 48 square meters, what are the dimensions of the garden?

• Width: 6 meters, Length: 8 meters

• Width: 5 meters, Length: 7 meters

• Width: 4 meters, Length: 6 meters

• Width: 8 meters, Length: 10 meters

A rectangular room has an area of 96 square feet. If the length is 8 feet longer than the width, what are the dimensions of the room?

• Width: 4 feet, Length: 12 feet

• Width: 10 feet, Length: 18 feet

• Width: 6 feet, Length: 14 feet

• Width: 8 feet, Length: 16 feet

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

• Width: 5 meters, Length: 8 meters

• Width: 5 meters, Length: 10 meters

• Width: 6 meters, Length: 11 meters

• Width: 4 meters, Length: 9 meters