Four squares ABCD, EFGH, IJKL, and MNOP are constructed such that points E, F, G, H are middle points (midpoints) of the sides of square ABCD. Points I, J, K, L are midpoints of the square EFGH. M, N, O, and P are midpoints of the square IJKL. What is the area of the square ABCD, if OP=2 cm?

Respuesta :

By definition, the area of the parallelogram is given by:

A = b * h

Where,

b: base

h: height

We have then:

ABCD parallelogram:

A = (3) * (3)

A = 9 units ^ 2

EFGH parallelogram:

A = (3) * (3)

A = 9 units ^ 2

Answer:

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.