Question

A rectangular ground of dimensions $120$ m x $50$ m is to be divided into two equal triangular parts. Wooden fence is used for the partition between the two triangualr parts. Find out the length of wooden fence used?

• A. $120$ m
• B. $170$ m
• C. $100$ m
• D. $130$ m

Answer 1

The correct option is D $130$ m

The below figure show the arrangement of the rectangular park divided into two equal triangles.


Now, length of fences can be found out by Pythagoras theorem,
Length of fences,
$A{C}^2=A{B}^2+B{C}^2$
$A{C}^2={120}^2+{50}^2$
$A{C}^2=14400+2500$
$AC=\sqrt{16900}$
$AC=130$ m
Hence, length of wooden fences will be $130$ m.
Correct option is $\left(d\right)$.