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Mathematics, 23.10.2020 01:01 alizeleach0123
Unit squares are arranged to form a rectangular grid that
is m units wide and n units tall, where m and n are
positive integers with 2n < m < 3n. The region below
one of the diagonals of the rectangle is shaded as shown.
For certain pairs m and n, there is a unit square in the
grid that is not completely shaded but whose shaded area
is greater than 0.999. The smallest possible value of mn
for which this is true satisfies
(A) 496 ≤ mn ≤ 500
(B) 501 ≤ mn ≤ 505
(C) 506 ≤ mn ≤ 510
(D) 511 ≤ mn ≤ 515
(E) 516 ≤ mn ≤ 520
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Answers: 1
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Unit squares are arranged to form a rectangular grid that
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