Question

HELP PLEASE!

Answer 1

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
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