Posted by **Hale** on Wednesday, May 1, 2013 at 6:42am.

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) -
**Reiny**, Wednesday, May 1, 2013 at 10:25am
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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