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Since the perimeter is 7.8 meters, you know that the length plus the width is half that, because P = 2(L+W). So, L+W = P/2 = 3.9 meters.

But you also know (from the problem statement) that 4L = 9W.

Another way of writing that one is L = 9W/4.

So, you can substitute 9W/4 for L in the first equation. That gives us

9W/4 + W = 3.9

Multiply both sides of the equation by 4, which gives us

9W + 4W = 15.6

13W = 15.6

W = 1.2

Since L + W = 3.9, we know that L + 1.2 = 3.9, which means L = 2.7.

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Q: What are the dimensions of a table that has a perimeter of 7.8 meter when 4 times the length equals 9 times the width?
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