Question

The length of a rectangle is the width minus 3 units. The area of the rectangle is 40 units. What is the width, in units, of the rectangle?

Answer 1

The width of rectangle is 8 units.

Step-by-step explanation:

Given,

Area of rectangle = 40 units

Width = w

Length = w-3

Area = Length * Width

$40=(w-3)*w\\40=w^2-3w\\w^2-3w=40\\w^2-3w-40=0$

Factorizing the equation

$w^2-8w+5w-40=0\\w(w-8)+5(w-8)=0\\(w-8)(w+5)=0$

Either,

w-8=0         => w=8

Or,

w+5=0        =>w= -5

As width cannot be negative, therefore

Width of rectangle = 8 units

The width of rectangle is 8 units.

Keywords: area, rectangle

Learn more about rectangles at:

• brainly.com/question/10538663
• brainly.com/question/10557275

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