Find the maximum distance between two points on the perimeter of a rectangular garden whose length and breadth are 20 meter and 15 meter.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 25 meter
The two points of a rectangle that are farthest apart are opposite corners, so the maximum distance is the diagonal. The diagonal is the hypotenuse of a right triangle whose legs are the length and the breadth (Pythagoras theorem).
The diagonal is the hypotenuse, with legs 20 m and 15 m: \(\sqrt{20^{2}+15^{2}}=\sqrt{400+225}=\sqrt{625}\)
So the greatest distance between two points of the garden’s boundary is 25 m
