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

## Answer This Question

## Related Questions

- Math (Geometry) - Square ABCD has M as the midpoint of AB, N as the midpoint of ...
- Geometry; Check answers? - For each graph, find (a)AB to the nearest tenth and (...
- Geometry - Given the rectangle ABCD has a total area of 72. E is in the ...
- Geometry - Did I solve the following correctly? I had to the fin the midpoint. ...
- geometry - in triangle GHJ, K(2,3) is the midpoint of GH, L(4,1) is the midpoint...
- Geometry - Let ABCD be a parallelogram. Let M be the midpoint of AB and N be the...
- GEOMETRY - URGENT! HELP! - Let ABCD be a parallelogram. Let M be the midpoint of...
- geometry - In triangle DEF, A(2,3) is the midpoint of DE, B(4,1) is the midpoint...
- Geometry - J is the midpoint of Gk, H is the midpoint of GJ and I is the ...
- geometry - in triangle GHJ, k(2,3) is the midpoint of GH, l(4,1) is the midpoint...

More Related Questions