Respuesta :

Answer:

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7

The length and width of the rectangle is equals to 7inches and 2inches respectively.

What is rectangle?

" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."

Formula used

Perimeter of the rectangle = 2 (length + width)

According to the question,

Given,

Perimeter of the rectangle = 18inches

'x' represents the width of the rectangle

As per the condition given,

Length of the rectangle = [tex]9x -11[/tex]

Substitute the value in the formula we get,

[tex]2(9x -11 +x)=18[/tex]

⇒[tex](10x-11)=\frac{18}{2}[/tex]

⇒[tex]10x= 9+11[/tex]

⇒[tex]x= 2inches[/tex]

Length of the rectangle = [tex]9(2)-11[/tex]

                                        = [tex]18-11[/tex]

                                        = [tex]7inches[/tex]

Hence,  length and width of the rectangle is equals to 7inches and 2inches respectively.

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