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)

1 answer

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