Question

Point A,B,C and D are midpoints of sides of square EFGH. If area of EFGH is 48cm2 then area of ABCD is? (ans 24cm2)

Answer 1

if you draw the diagram, you can see that the sides of ABCD are the hypotenuses of triangles formed at the corners of EFGH. So, the sides of ABCD are 1/√2 as long as the sides of EFGH.

So, the area of ABCD is 1/2 the area of EFGH: 24 cm^2