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# If the lengths of perpendicular sides of a park that

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If the lengths of perpendicular sides of a park that [#permalink]  08 Jun 2019, 05:55
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If the lengths of perpendicular sides of a park that is in the shape of a right-angled triangle park are integers and the area of the triangular park is 630 square units, which of the following can be the greatest number that divides the lengths of both the perpendicular sides?

I. 6
II. 10
III. 21

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
[Reveal] Spoiler: OA
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Re: If the lengths of perpendicular sides of a park that [#permalink]  08 Jun 2019, 09:27
Expert's post
Area $$(\frac{1}{2})a*b = 630$$;

a*b= Integer = 1260

6x * 6y = 1260

xy = 35 = 7*5 possible.

For 10,

xy= 12.6 Not possible

For 21

xy= 20/7 Not Possible

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Re: If the lengths of perpendicular sides of a park that   [#permalink] 08 Jun 2019, 09:27
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