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Chapter 7: Q41. (page 461)

Jean is framing a painting that is a rectangle. What is the perimeter of the frame?

Short Answer

Expert verified

The perimeter of the frame is 4x2+4x+8.

Step by step solution

01

Step 1. Define standard form of a polynomial.

The standard form of a polynomial means, writing the polynomial in descending powers of the variable.

02

Step 2. Define like and unlike terms.

In algebra, like terms are the terms that have the same variables and powers.

The unlike terms are two or more terms that are not like terms.

03

Step 3. Define the perimeter of a rectangle.

Perimeter of a rectangle is defined as

P=2L+W

Where,

P=Perimeter of the rectangle

L=Length of the rectangle

W=Width of the rectangle

04

Step 4. Calculate the perimeter for the given rectangle.

Observe the given rectangle.

L=2x2−3x+1

W=5x+3

Substitute the value ofL andW inP=2L+W

P=22x2−3x+1+5x+3=22x2−3x+1+5x+3

Combine the like terms

P=22x2−3x+5x+3+1=22x2+2x+4=22x2+22x+24=4x2+4x+8

Therefore the perimeter of the frame is 4x2+4x+8.

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Most popular questions from this chapter

Determine whether the given expression is a monomial or not.

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Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

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FINANCIAL LITERACY Cleavon has money in an account that earns 3% simple interest. The formula for computing simple interest is I=Prt, whereI is the interest earned, P represents the principal that he put into account, r is the interest rate (in decimal form), and t represents time in years.

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