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Let 
be an integer. Suppose there is a triangle with legs of length 16 and 
. Then by the Pythagorean theorem, the length of the hypotenuse should be
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
and 
are integers, then so are 
, 
, and 
.
However,
is not a perfect square trinomial, which means for any integer , the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
However,
Answer:
<h2>500 cm</h2>Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question we have
We have the final answer as
<h3>500 cm</h3>Hope this helps you