Real-Life Binomial Area Problems for 8th Graders

A rectangular garden has a length of (x + 3) meters and a width of (x + 2) meters. What is the area of the garden in square meters when expressed as a polynomial?

• x^2 + 3x + 9

• x^2 + 5x + 6

• x^2 + 4x + 5

• x^2 + 6x + 8

A box has dimensions of (2x + 1) cm in length and (3x + 4) cm in width. What is the expression for the area of the box's base?

• 6x^2 + 10x + 4

• 6x^2 + 7x + 4

• 6x^2 + 8x + 3x + 4 = 6x^2 + 11x + 4

• 6x^2 + 11x + 5

A school is planning to build a new playground that is (x + 5) meters long and (x + 1) meters wide. What is the area of the playground in square meters?

• x^2 + 6x + 5

• x^2 + 5x + 1

• x^2 + 4x + 5

• x^2 + 7x + 6

A farmer has a field that is (x + 2) meters wide and (x + 3) meters long. If he wants to plant grass in the entire field, what is the area he needs to cover?

• x^2 + 5x + 6

• x^2 + 3x + 9

• x^2 + 4x + 5

• x^2 + 6x + 6

A rectangular swimming pool has a length of (x + 6) meters and a width of (x + 4) meters. What is the polynomial expression for the area of the pool?

• x^2 + 10x + 20

• x^2 + 12x + 24

• x^2 + 8x + 20

• x^2 + 10x + 24

A rectangular plot of land has dimensions (3x + 2) meters by (x + 5) meters. What is the area of the plot in terms of x?

• 4x^2 + 10x + 5

• 2x^2 + 15x + 10

• 3x^2 + 17x + 10

• 3x^2 + 20x + 5

A rectangular painting has a length of (x + 7) inches and a width of (x + 3) inches. What is the area of the painting expressed as a polynomial?

• x^2 + 9x + 19

• x^2 + 11x + 21

• x^2 + 10x + 21

• x^2 + 8x + 20

A garden bed is designed to be (x + 4) feet long and (x + 2) feet wide. What is the area of the garden bed in square feet?

• x^2 + 2x + 8

• x^2 + 4x + 8

• x^2 + 6x + 8

• x^2 + 8x + 4

A rectangular storage unit has dimensions of (2x + 3) meters by (x + 1) meters. What is the expression for the area of the storage unit?

• x^2 + 5x + 3

• 2x^2 + 6x + 1

• 2x^2 + 5x + 3

• 2x^2 + 4x + 3

A rectangular classroom has a length of (x + 8) feet and a width of (x + 2) feet. What is the area of the classroom in square feet?

• x^2 + 6x + 16

• x^2 + 10x + 24

• x^2 + 12x + 8

• x^2 + 10x + 16