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

How many sides of a square have equal length?

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\(ABCD\) 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 \(PQRS\).

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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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