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

User Liborw
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2 Answers

18 votes
18 votes

Answer:

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

16 votes
16 votes

Answer:

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

User Rkmax
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3.2k points