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

Question

2 years ago

7

rectangle?

1 answer:

Eva8 [605] · Answer 1 · 2022-08-05T20:37:02+03:00

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

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