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# Quadrilaterals

These shapes have four sides and 360° of interior angle goodness.

How many sides of a square have equal length?

\(ABCD\) is a square such that \( [ABCD] = 120 \). \(E, F, G, H\) are the midpoints of \( AB, BC, CD\) and \(DA\) respectively. What is \( [EFGH] \)?

**Details and assumptions**

\([PQRS] \) denotes the area of figure \(PQRS\).

Square \(ABCD\) has \(M\) as the midpoint of \(AB\), \(N\) as the midpoint of \(BC\), \(P\) as the midpoint of \(CD\) and \(Q\) as the midpoint of \(MP\). If \([AMNPDQ] = 50\), what is the value of \([ABCD]\)?

**Details and assumptions**

\([PQRS]\) refers to the area of figure \(PQRS\).

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