Real-Life Applications of Distributing Binomials

A gardener is planting flowers in a rectangular garden that is 3x + 2 feet wide and 2x + 5 feet long. What is the area of the garden in square feet after multiplying the binomials?

• 6x^2 + 19x + 10

• 5x^2 + 19x + 10

• 6x^2 + 20x + 9

• 6x^2 + 15x + 10

A box has a length of (x + 4) inches and a width of (2x + 3) inches. What is the expression for the area of the box after multiplying the binomials?

• 2x^2 + 11x + 12

• 4x^2 + 11x + 3

• x^2 + 8x + 12

• 2x^2 + 7x + 12

A school is organizing a fundraiser where they sell (x + 1) chocolate bars and (x + 3) cookies. How many total items are sold after multiplying the binomials?

• x^2 + 4x + 3

• x^2 + 2x + 4

• x^2 + 5x + 2

• x^2 + 3x + 1

A rectangular pool has a length of (2x + 1) meters and a width of (x + 4) meters. What is the expression for the area of the pool after multiplying the binomials?

• 2x^2 + 8x + 4

• x^2 + 5x + 20

• 2x^2 + 10x + 1

• 2x^2 + 9x + 4

A farmer has a field that is (3x + 2) acres wide and (x + 5) acres long. What is the total area of the field after multiplying the binomials?

• 3x^2 + 20x + 12

• 3x^2 + 17x + 10

• 3x^2 + 15x + 10

• 2x^2 + 17x + 5

A rectangular painting has a width of (x + 2) feet and a height of (3x + 1) feet. What is the area of the painting after multiplying the binomials?

• 3x^2 + 7x + 2

• 2x^2 + 5x + 3

• 4x^2 + 6x + 1

• 3x^2 + 8x + 4

A recipe calls for (x + 2) cups of flour and (2x + 3) cups of sugar. How many total cups of ingredients are needed after multiplying the binomials?

• 3x^2 + 6x + 9

• 2x^2 + 5x + 4

• 2x^2 + 7x + 6

• x^2 + 4x + 3

A rectangular plot of land is (x + 3) meters wide and (x + 1) meters long. What is the area of the plot after multiplying the binomials?

• x^2 + 2x + 6

• x^2 + 4x + 3

• x^2 + 5x + 3

• x^2 + 3x + 1

A company produces (2x + 3) gadgets and (x + 4) tools. What is the total number of items produced after multiplying the binomials?

• 2x^2 + 11x + 12

• 2x^2 + 11x + 10

• 2x^2 + 7x + 12

• 2x^2 + 9x + 12

A rectangular garden has a length of (x + 5) feet and a width of (2x + 1) feet. What is the area of the garden after multiplying the binomials?

• x^2 + 7x + 5

• 2x^2 + 10x + 5

• 4x^2 + 11x + 1

• 2x^2 + 11x + 5