Exploring Area: FOIL with Binomials in Real Life

A gardener is planting flowers in a rectangular garden. The length of the garden is represented by the binomial (2x + 3) meters, and the width is (x + 4) meters. What is the area of the garden in square meters using the FOIL method?

• x^2 + 11x + 12

• 2x^2 + 8x + 15

• 2x^2 + 11x + 12

• 2x^2 + 7x + 12

A rectangular painting has a length of (3x + 2) feet and a width of (x + 5) feet. Calculate the area of the painting by multiplying the binomials.

• 3x^2 + 10x + 15

• 3x^2 + 17x + 10

• 4x^2 + 20x + 5

• 2x^2 + 15x + 10

A farmer has a field that is (x + 6) meters long and (2x + 1) meters wide. What is the expression for the area of the field using the FOIL method?

• x^2 + 7x + 6

• 2x^2 + 12x + 6

• 4x^2 + 24x + 1

• 2x^2 + 13x + 6

A box has a length of (x + 3) cm, a width of (2x + 1) cm, and a height of (x + 4) cm. What is the expression for the volume of the box?

• 2x^3 + 15x^2 + 28x + 12

• 4x^3 + 5x^2 + 10x + 1

• x^3 + 12x^2 + 15x + 8

• 3x^3 + 10x^2 + 20x + 5

A school is designing a new playground that is (x + 2) meters long and (3x + 5) meters wide. What is the area of the playground using the FOIL method?

• 4x^2 + 9x + 12

• 3x^2 + 11x + 10

• 3x^2 + 10x + 5

• 2x^2 + 7x + 8

A rectangular pool has a length of (4x + 1) meters and a width of (x + 3) meters. What is the area of the pool in square meters?

• 4x^2 + 13x + 3

• 4x^2 + 10x + 3

• 4x^2 + 12x + 5

• 4x^2 + 14x + 1

A rectangular garden has dimensions (x + 1) meters by (2x + 2) meters. What is the area of the garden using the FOIL method?

• 2x^2 + 4x + 2

• 4x^2 + 2x + 1

• x^2 + 2x + 2

• 2x^2 + 2x + 1

A rectangular plot of land is (3x + 4) meters long and (x + 2) meters wide. Calculate the area of the plot using the FOIL method.

• 4x^2 + 5x + 10

• 3x^2 + 8x + 4

• 3x^2 + 10x + 8

• 2x^2 + 7x + 6

A rectangular table has a length of (x + 5) feet and a width of (2x + 3) feet. What is the area of the table in square feet?

• x^2 + 8x + 15

• 4x^2 + 20x + 12

• 2x^2 + 10x + 5

• 2x^2 + 13x + 15

A rectangular room has dimensions (x + 7) meters by (3x + 1) meters. What is the area of the room using the FOIL method?

• 3x^2 + 22x + 7

• 3x^2 + 15x + 7

• 3x^2 + 20x + 5

• 2x^2 + 22x + 7