Side Length Problem.

Geometry Level 2

ABCD is a square. P, Q, R, and S are points on AD, DC, BC, BA respectively, such that AP = DQ = CR = BS. If The is any point inside the square ABCD and area of quadrilateral APTS = 49 sq. units and area of quadrilateral QTRC = 29 sq. units. Find the side length of the square ABCD. Round it to the nearest integers.


The answer is 12.

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1 solution

X X
Sep 8, 2018

2 ( 29 + 49 ) = 156 12.49 \sqrt{2(29+49)}=\sqrt{156}\approx 12.49

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