Find the length of the longest line segment that can be drawn on a rectangular board 3.07 m by 2.24 m.

Step-by-step explanation:

For rectangle

l=3.07m

b=2.24m

so longest side that can be drawn is diagonal of rectangular board

=squareroot l^2+b^2

=squareroot3.07^2+2.24^2

=squareroot9.4249+5.0176

=squareroot14.4425

=3.80

So longest line that can be drawn in rectangular board is 3.80m