The area of the rhombus is 48 cm. Find the area of a 4-gon whose vertices are the midpoints of the sides of this rhombus.

univerkov | September 4, 2021 | education

The area of the trapezoid through its diagonals is equal to:

Savsd = 48 = АС * ВD / 2.

Segment KA = AC / 2, KН = BD / 2.

Then Sкмрн = АС * ВD / 4. = Savsd / 2 = 48/2 = 24 cm2.

Answer: The area is 24 cm2.

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