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BigorU [14]
3 years ago
11

The length of a diagonal of a square is 18√2 inches. Find the perimeter of the square.

Mathematics
1 answer:
Leona [35]3 years ago
3 0

A diagonal of a square is defined, d=a\sqrt{2} where <em>a</em> is side of the square. Solve for <em>a</em> to get a=\frac{d}{\sqrt{2}}.

Now multiply <em>a</em> by 4 since that is the definition of a perimeter,

P=4a=4\cdot\frac{18\sqrt{2}}{\sqrt{2}}=4\cdot18=\boxed{72}.

Hope this helps.

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