CAT 2002 — QA Question 13
Basics of Mensuration/PrismEasy
In order to cover less distance, a boy - rather than going along the longer and the shorter lengths of the rectangular path, goes by the diagonal. The boy finds that he saved a distance equal to half the longer side. The ratio of the breadth and length is
Answer & solution
- A
1/2
- B
2/3
3/4
- D
7/15
Solution
Let the breadth of the rectangular field be b and its length be l.
If he had moved along the edge, he would have moved through a distance = l + b = d + l/2
d = b + l/2
Substituting the options, only option 3 gives the values of l, b and d as 4, 3 and 5 which are Pythagorean triplets.
Hence, option (c).