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Chapter 8: Q30. (page 514)

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

Short Answer

Expert verified

The length of rectangle is x2鈭�2x+5.

Step by step solution

01

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:

Area=length脳widthx3鈭�2x2+5x=length脳x

02

Step 2. Write the factors and equate.

Now, factorizing the area of the polynomial:

Area=x3鈭�2x2+5x=x(x2鈭�2x+5)length脳width=(x2鈭�2x+5).x

03

Step 3. Write the conclusion.

Comparing the length and width x:

The length of the rectangle is x2鈭�2x+5.

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