Math (Geometry)

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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 the area of AMNPDQ is 20, what is the area of ABCD?

  • Math (Geometry) -

    make your sketch and join QN
    in MBCP, you will see 4 equal congruent triangles,
    label each one as x units

    so outline AMNPDQ and you will see it is made up
    of 4x
    so 4x = 20
    x = 5
    all of ABCD is 8x
    8x = (8(5) = 40 units

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