Waste less time on Facebook — follow Brilliant.
×

Quadrilaterals

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

Properties of Squares

         

How many sides of a square have equal length?

Square \(ABCD\) has side length equal to \(12\). \(E\) is the midpoint of \(AD\) and \(F\) is the midpoint of \(DC\). What is the area of quadrilateral \(BEFC\)?

\(ABCD\) 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 \(PQRS\).

Square \(ABCD\) has side length equal to \(12\). \(E\) is the midpoint of \(AD\) and \(F\) is the midpoint of \(DC\). What is the area of quadrilateral \(BEFC\)?

×

Problem Loading...

Note Loading...

Set Loading...