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hram777 [196]
3 years ago
9

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

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

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

Learn more about area at:

  • brainly.com/question/1349456
  • brainly.com/question/1357167

#LearnwithBrainly

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