Source: Official Guide for the GMAT 13th Ed. Data Sufficiency; #128 Official Guide for the GMAT 2015 14th Ed. Data Sufficiency; #128
Varun S Nair
Can you explain how the 1st statement can be solved to obtain b & h?
Sep 16, 2019 • Comment
Adam , Magoosh Tutor
Hey Varun,
Since this is a data sufficiency question, we shouldn't worry about solving. The bottom line is that we have two equations and two unknowns, which is always solvable:
b² + h² = 10² 0.5bh = 25
In any case, we want b + h. If you square b + h, you get:
b² + 2bh + h²
And we know these values:
(b² + h²) + 2bh = 100 + 100 = 200
Hence:
(b + h)² = 200
b + h = √200
And the perimeter, then, is 10 + √200.
Sep 24, 2019 • Reply
Mike McGarry, Magoosh Tutor
Jan 4, 2014 • Comment
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