1967 AHSME Problems/Problem 11
Problem
If the perimeter of rectangle is
inches, the least value of diagonal
, in inches, is:
Solution
The least possible value of the diagonal is when the side lengths are as close as possible. In this case, the perimeter is divisible by , so we can make a square. Since the perimeter is
,
divided by
is
. So when
is the side length of the square, the diagonal is
or
.
See also
1967 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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