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Chapter 7: Q46. (page 462)

Find the area of the rectangle.

Short Answer

Expert verified

The area of the rectangle is(3x3+3x2鈭�21x)units2.

Step by step solution

01

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

02

Step 2. Define the power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

am.an=am+n

Where,a is any non-zero real number.

03

Step 3. Define the area of the rectangle.

Area of the rectangle (A)lengthwidth 鈥︹�︹��.. (1)

04

Step 4. Calculate the area of the given rectangle.

Observe the figure.

Let the length of the rectangle=x2+x鈭�7 units

The width of the rectangle =3xunits

Use the equation (1).

The area of the rectangle is

A=x2+x鈭�73xA=x23x+x3x鈭�73x

Use the power of a product rule.

A=3x3+3x2鈭�21x

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Most popular questions from this chapter

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Subtract the polynomials below.

7a2+6a鈭�2鈭�鈭�4a3+3a2+5

  1. 4a3+4a2+6a鈭�7
  2. 11a2+3a鈭�7
  3. 4a3+10a2+6a+3
  4. 4a3+7a3鈭�3a

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

2x鈭�3鈭�4x+1

Write two formulas that have monomial expressions in them. Explain how each is used in a real word situation.

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

Explain your reasoning.

2鈭�3a

Evaluate each product or quotient. Express the results in scientific notation.

6.6脳1052脳10鈭�3
See all solutions

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