Question

The parallel sides of a parallelogram are $60$m and $25$ m and one of the diagonals is $65$ m. Find the area of the parallelogram,

• A. $1430$ sq m
• B. $1576$ sq m
• C. $1500$ sq m
• D. None of these

Answer 1

The correct option is C $1500$ sq m

The area of parallelogram $ABCD=2\times Ar△ABC$

Now,

$Ar△ABC=\sqrt{s(s-a)(s-b)(s-c)}s=\frac{a+b+c}{2}=\frac{65+60+25}{2}=75m$

Thus,

$\therefore Ar△ABC=\sqrt{75(75-65)(75-60)(75-25)}=\sqrt{75\times 10\times 15\times 50}=750m^2$

Thus, area of parallelogram $=2\times 750m^2$

$=1500m^2$