Chapter 11: Q9. (page 731)

MULTIPLE CHOICE The area of a rectangle is $x^{2} + 5 x + 6$ square feet. If the width is $x + 2$ , what is the length of the rectangle.
$x + 2$
$x + 3$
1
3

Short Answer

Expert verified

The length of the rectangle is $(x + 3)$ .

Step by step solution

Step 1. Factor.

Factor the given polynomial.

$x^{2} + 5 x + 6 = x^{2} + 3 x + 2 x + 6 = x (x + 3) + 2 (x + 3)$

Step 2. Simplify.

Simplify the obtained expression.

$(x + 2) (x + 3)$

Step 3. Write the conclusion.

The area of rectangle is given by $A = l \cdot b$ . 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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MULTIPLE CHOICE The area of a rectangle is $x^{2} + 5 x + 6$ square feet. If the width is $x + 2$ , what is the length of the rectangle.
$x + 2$
$x + 3$
1
3

Short Answer

Step by step solution

Step 1. Factor.

Step 2. Simplify.

Step 3. Write the conclusion.

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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.x+2x+313

Short Answer

Step by step solution

Step 1. Factor.

Step 2. Simplify.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

MULTIPLE CHOICE The area of a rectangle is $x^{2} + 5 x + 6$ square feet. If the width is $x + 2$ , what is the length of the rectangle.
$x + 2$
$x + 3$
1
3