If its length is 4x - 3 meters and its width is 2x + 6meters , what is the actual width of the rectangle?

p

=

2

(

4

x

+

3

)

+

2

(

2

x

−

6

)

or simplified  

p

=

12

x

−

9

Explanation:

By definition the perimeter of an object is the length of all its sides.

Also by definition, for a rectangle the 2 sides of the width are equal and the 2 sides of the length are equal.

Therefore the equation for the perimeter of a rectangle can be written as:

p

=

2

⋅

l

+

2

⋅

w

where  

p

is the perimeter,  

l

is the length and  

w

is the width.

Substituting what was given about the length and width gives the equation:

p

=

2

(

4

x

+

3

)

+

2

(

2

x

−

6

)

Simplifying this equation gives:

p

=

8

x

+

3

+

4

x

−

12

p

=

8

x

+

4

x

+

3

−

12

p

=

12

x

−

9

Step-by-step explanation:

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