Question

The area of a rectangle is w^2+4w=60 where w is the width. find the width.

Answer 1

The width of rectangle is 6.

Step-by-step explanation:

Given,

Area of rectangle; w²+4w=60

As w is the width, we will solve the equation to find w.

$w^2+4w=60$

Subtracting 60 from both sides

$w^2+4w-60=0$

Factorizing the equation;

$w^2+10w-6w-60=0\\w(w+10)-6(w+10)=0\\(w+10)(w-6)=0$

Either,

w+10=0         => w=-10

Or,

w-6=0           =>w=6

As width cannot be negative, therefore

Width = 6

The width of rectangle is 6.

Keywords: area, rectangle

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