Question

Four horses are tied on the four corners of a square field of 14 m length so that each horse can just touch the other two horses. They were able to graze in the area accessible to them for 11 days. For how many days is the ungrazed area sufficient for them?

• A. 3 days
• B. 4 days
• C. 5 days
• D. 2 days

Answer 1

The correct option is A 3 days

Area of the square $=14\times 14=196sq.m$

Area to be grazed $=\pi \times 7^2=49\pi sq.m$
$\therefore$ Ungrazed area $=196-49\pi$
Area of $49\pi sq.m$ is sufficient to graze for 11 days.
$\therefore$ Area of $(196-49\pi )sq.m$ is sufficient to graze for
$\frac{11}{49\pi }\times (196-49\pi )=\frac{44}{\pi }-11$
$=14-11=3$ days