The side of a rhombus is 25 m, and one of its diagonal is 30 meters. What is its area?
Answer & explanation
Correct answer: option 1
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