Real-Life Applications of Multiplying Binomials

A gardener is planting flowers in a rectangular garden. The length of the garden is represented by the binomial (x + 3) meters, and the width is (x - 2) meters. What is the area of the garden in terms of x?

• x^2 + 2x - 6

• x^2 - x + 6

• x^2 + 5x + 6

• x^2 + x - 6

A box has a length of (2x + 1) cm, a width of (x - 4) cm, and a height of 5 cm. What is the volume of the box expressed as a polynomial?

• 10x^2 - 35x - 20

• 5x^2 - 15x + 10

• 15x^2 - 25x - 30

• 10x^2 - 20x + 5

A rectangle has a length of (3x + 5) meters and a width of (x + 1) meters. If the length is increased by 2 meters, what will be the new area of the rectangle in terms of x?

• 3x^2 + 10x + 7

• 3x^2 + 10x + 5

• 3x^2 + 8x + 7

• 3x^2 + 12x + 9

A school is organizing a play and needs to arrange seats in rows. If each row has (x + 4) seats and there are (x - 1) rows, how many seats are there in total?

• (x + 4) / (x - 1)

• (x + 4) * (x - 1)

• (x - 1) - 4

• (x + 4) + (x - 1)

A farmer has a field that can be represented by the binomial (x + 6) acres. If he decides to divide the field into smaller plots, each plot being (x + 2) acres, how many plots can he create?

• 1

• 2

• 3

• 4

A rectangular swimming pool has a length of (x + 7) meters and a width of (2x - 3) meters. What is the expression for the perimeter of the pool?

• 8x - 6

• 6x + 8

• 5x + 12

• 4x + 10

A company produces boxes that have a length of (x + 5) inches and a width of (x - 1) inches. If they want to find the total surface area of the box, what expression would they use?

• 2(x + 5 + x - 1 + h)

• 2((x + 5)(x - 1) + (x + 5) + (x - 1))

• 2((x + 5)(x - 1) + (x + 5)h + (x - 1)h)

• (x + 5)(x - 1)h

A recipe calls for (x + 2) cups of flour and (x - 3) cups of sugar. If you want to double the recipe, what will be the new total amount of flour and sugar combined?

• 3x + 5

• 4x - 2

• 5x - 1

• 2x - 1

A rectangular garden has dimensions represented by the binomials (2x + 3) meters and (x + 1) meters. If the garden is to be fenced, what is the expression for the total length of the fence needed?

• 2x + 5

• 4x + 6

• 6x + 8

• 8x + 4