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Chapter 9: Q. 208 (page 919)

The new computer has a surface area of 168 square inches. If the the width is 5.5 inches less that the length, what are the dimensions of the computer?

Short Answer

Expert verified

The length of the computer is 16 inches and width of the computer is 5.5 inches;

Step by step solution

01

Step 1. Given information

Given that the surface area of rectangular computer is 168 square inches and width is 5.5 inches less than rectangle's length.

02

Step 2. Applying the formula for rectangle's area

On applying the formula for rectangle's area,

Length×width=Areax(x-5.5)=168x2-5.5x-168=0a=1,b=-5.5,c=-168x=-b±b2-4ac2ax=-(-5.5)±(-5.5)2-4×1×-1682×1x=5.5±30.25+6722x=5.5+26.52x=16

The length is 16 inch and width is 16-5.5=10.5 inches.

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