Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm2.
Answer & explanation
Correct answer: option 1
Area =1/2× (d1×d2),
where d1 and d2 are diagonals
240 =1/2 × 16 × d2
d2 = 30cm
If both the diameters of the rhombus are = 30 and 15
then,
with the help of pythagorous theorem,
AB = \(\sqrt {8^2 + 15^2}\) = 17
Now the perimeter = 17 × 4 = 68 cm