Question

The diagonal of a rectangular field is $15$ metres and the difference between its length and width is $3$ metres. The area of the rectangular field is equal to

• A. $9m^2$
• B. $12m^2$
• C. $21m^2$
• D. $108m^2$

Answer 1

The correct option is D $108m^2$

We know that $9,12$ and $15$ are standard Pythagoras triplet.
It is given that the diagonal of the field is $15m$
Hence the length has to $12m$ while the breadth has to be $12-3=9m$
Thus the area will be
$=2\left(\frac{12.9}{2}\right)$
$=12.9$
$108$ sq m.