Chapter 8: Q30. (page 514)

The area of a rectangle shown is $x^{3} - 2 x^{2} + 5 x$ square units. What is the length?

Short Answer

Expert verified

The length of rectangle is $x^{2} - 2 x + 5$ .

Step by step solution

Step 1. State the concept for area of rectangle.

The area of the rectangle is multiplication of the length and width.

The area of the rectangle is evaluated as:

$\begin{matrix} Area = length \times width \\ x^{3} - 2 x^{2} + 5 x = length \times x \end{matrix}$

Step 2. Write the factors and equate.

Now, factorizing the area of the polynomial:

$\begin{matrix} Area = x^{3} - 2 x^{2} + 5 x \\ = x (x^{2} - 2 x + 5) \\ length \times width = (x^{2} - 2 x + 5) . x \end{matrix}$

Step 3. Write the conclusion.

Comparing the length and width x:

The length of the rectangle is $x^{2} - 2 x + 5$ .

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The area of a rectangle shown is $x^{3} - 2 x^{2} + 5 x$ square units. What is the length?

Short Answer

Step by step solution

Step 1. State the concept for area of rectangle.

Step 2. Write the factors and equate.

Step 3. Write the conclusion.

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The area of a rectangle shown is x3−2x2+5xsquare units. What is the length?

Short Answer

Step by step solution

Step 1. State the concept for area of rectangle.

Step 2. Write the factors and equate.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Geometry

Applied Mathematics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

The area of a rectangle shown is $x^{3} - 2 x^{2} + 5 x$ square units. What is the length?