Find the area of the parallelogram whose length is 60 cm and width is 25 cm and one diagonal is 45 cm is?
Answer & explanation
Correct answer: option 3

Semi - perimeter (s) of ΔABC = \(\frac{60 + 45 + 25}{2}\) = 65
Now,
Area of ΔABC = \(\sqrt {s × (s - a)(s - b)(s - c)}\)
= \(\sqrt {65 × (65 - 45 )(65 - 25)(65 - 60)}\)
= \(\sqrt {65 × 5 × 40 × 20}\)
= \(\sqrt {5 × 13 × 5 × 5 × 8 × 5 × 4}\)
= 100\(\sqrt {26}\)cm2
Therefore,
Area of Parallelogram = 2 × Area of ΔABC = 2 × 100\(\sqrt {26}\) = 200\(\sqrt {26}\)cm2