Multiple choice

The area of the figure obtained by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 20 cm is_____.

  1. $48 cm^2$
  2. $64 cm^2$
  3. $80 cm^2$

  4. none of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The figure formed by joining midpoints of a rhombus is a rectangle. Its area is half the area of the rhombus. Area of rhombus = (d1 * d2) / 2 = (16 * 20) / 2 = 160. Area of rectangle = 160 / 2 = 80.

AI explanation

Joining the midpoints of any quadrilateral forms a parallelogram with an area equal to half the area of the original figure. For a rhombus, the area is one half times the product of its diagonals, giving one half times sixteen centimeters times twenty centimeters, which equals one hundred sixty square centimeters. The area of the figure formed by the midpoints is half of one hundred sixty, which is eighty square centimeters.

Keep practicing — related questions