The perimeter of a rectangle is equal to 24
. if the length is halved and the width is tripled, the new perimeter is increased by 8
. what is the length of the original rectangle?

The length of the original rectangle is 8.

Step-by-step explanation:

If we call w the width and call L the length of the rectangle then the perimeter is calculated by the following equation:

In this case we know that the perimeter P is: P=24

Then:

If we call the new width of the rectangle w 'then

If we call the new length of the rectangle L 'then

Therefore:

Now solve we have the following system of equations

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To solve the system multiply the first equation by -3 and add it to the second equation

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