The side of a rhombus is 25 m, and one of its diagonal is 30 meters. What is its area?
|
600 sq m 500 sq m 400 sq m 300 sq m |
600 sq m |
Applying Pythagoras theorem: (25)2 - ( \(\frac{ 30}{ 2}\) )2 = (half of 2nd diagonal)2 625 - (15)2 = (half of 2nd diagonal)2 625 - 225 = (half of 2nd diagonal)2 400 = (half of 2nd diagonal)2 20 = half of diagonal Thus, we can say that length of the diagonal is 40 m Area of a rhombus = \(\frac{ 1}{ 2}\) x D1 x D2 Area = \(\frac{ 1}{ 2}\) x 30 x 40 Area = 600 sq m |