SOLUTION: in square ABCD , p is the midpoint of DC and Q is the midpoint of AD. if the area of the quadrilateral QBCP is 15. what is the area of square ABCD ?

Question 322348: in square ABCD , p is the midpoint of DC and Q is the midpoint of AD. if the area of the quadrilateral QBCP is 15. what is the area of square ABCD ?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Let the side of the square equal .
The area of QBCP plus the area of triangle ABQ and the area of triangle PDQ equal the area of the square ABCD.
The area of the triangle is,

ABQ:
PDQ:
QBCP:
ABCD:
Put it all together,

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