The perimeter of a rhombus is 148 cm, and one of its diagonals is 24 cm. The area (in cm2) of the rhombus is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 840.
Given that
One diagonal of rhombus (d1) = 24 cm
The perimeter of rhombus = 148 cm
Then, side of rhombus (a) = 148/4 = 37 cm
Calculate another diagonal with formula given below
d12 + d22 = 4a2
d22 = 4 * 372 - 242 = 4900
d2 = 70 cm
Now, Area of rhombus = d1 * d2 / 2 = 24 * 70 / 2 = 840 cm2