To get the amount of fence required we need to find the perimeter of the figure. This will be found by summing up the distance around the figure. Thus, we shall have it as follows:
the length of the hypotenuse of the triangular side will be:
c^2=a^2+b^2
c^2=4^2+2^2
c^2=16+4
c^2=20
c=2√5
the length of the smaller hypotenuse is half the large hypotenuse, thus we shall have:
(2√5)/2=√5
thus the total length around the figure starting from the larger hypotenuse moving in clockwise direction will be:
2√5+7+2+1+√5+7
=3√5+17
=23.708
Answer: 23.708 units