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Chapter 11: Q9. (page 731)

MULTIPLE CHOICE The area of a rectangle is x2+5x+6square feet. If the width is x+2, what is the length of the rectangle.

  1. x+2
  2. x+3
  3. 1
  4. 3

Short Answer

Expert verified

The length of the rectangle is x+3.

Step by step solution

01

Step 1. Factor.

Factor the given polynomial.

x2+5x+6=x2+3x+2x+6=xx+3+2x+3

02

Step 2. Simplify.

Simplify the obtained expression.

x+2x+3

03

Step 3. Write the conclusion.

The area of rectangle is given byA=l鈰�b. By comparing the equation of area to obtained expression, the length of the rectangle is x+3. Option B completely matches with the obtained equation therefore, option B is the required answer.

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Most popular questions from this chapter

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

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