contestada

The perimeter of a rectangle is 234 meters.
The rectangle is twice as long as it is wide.
What are its length and width?

Respuesta :

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

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Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

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"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

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In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

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Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

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Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234