Question

Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)

Answer 1

A = 3x² - x - 10

Explanation:

A = length × width

A = (3x + 5)(x - 2)

A = 3x(x - 2) + 5(x - 2)

A = 3x² - 6x + 5x - 10

A = 3x² - x - 10

Answer 2

A = 3x² - x - 10

Explanation:

the area (A) of a rectangle is calculated as

A = length × width , then

A = (3x + 5)(x - 2)

each term in the second factor is multiplied by each term in the first factor.

A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis

= 3x² - 6x + 5x - 10 ← collect like terms

= 3x² - x - 10