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valentina_108 [34]
3 years ago
9

HELP PLEASE!

Mathematics
1 answer:
monitta3 years ago
3 0

The width of rectangle is 3 units.

Step-by-step explanation:

Given,

Area of rectangle = Perimeter of rectangle

Let,

width of rectangle = w

Length of rectangle = w+3

Area = Length*Width

Perimeter = 2(Length+Width)

It is given that;

Area of rectangle = Perimeter of rectangle

l*w=2(Length+Width)\\(w+3)w=2(w+3+w)\\w^2+3w=2(2w+3)\\w^2+3w=4w+6\\w^2+3w-4w-6=0\\w^2-w-6=0

Factorizing the equation,

w^2-3w+2w-6=0\\w(w-3)+2(w-3)=0\\(w-3)(w+2)=0

Either,

w-3=0          => w=3

Or,

w+2=0         => w= -2

As width cannot be negative, therefore,

The width of rectangle is 3 units.

Keywords: area, perimeter

Learn more about areas at:

  • brainly.com/question/13062539
  • brainly.com/question/13076219

#LearnwithBrainly

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