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The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?

a. 13 meters
b. 12 meters
c. 11 meters

Respuesta :

severusm00
The correct answer is 12 meters. Hope that helps!
JeanaShupp

Answer: 12 meters

Step-by-step explanation:

Let the width of the rectangle be w.

Then the length of the rectangle will be 2+3w

We know that the perimeter of a rectangle is given by :-

[tex]\text{P}=2(l+w)[/tex], where l is length and w is width of the rectangle.

Now, according to the question, we have

[tex]2(w+2+3w)=100\\\\\Rightarrow2(2+4w)=100\\\\\Rightarrow\ 4+8w=100\\\\\Rightarrow\ 8w=96\\\\Rightarrow w=12\ \text{meters}[/tex]

Hence, the width of the rectangle = 12 meters

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