Question

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?

Answer 1

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