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A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
rectangle is 94 units, what is the length of the rectangle.

Respuesta :

whitneytr12

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

[tex] L = 3x + 7 [/tex]

[tex] W = 2x [/tex]

The perimeter of the rectangle is given by:

[tex] P = 2W + 2L [/tex]

[tex] 94 = 2(2x + 3x + 7) [/tex]

[tex] 94 = 10x + 14 [/tex]

[tex] x = 8 [/tex]

Now, we can calculate the length of the rectangle:

[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]        

         

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

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