NIELIT 2021 Dec Scientist B - Section A: 25

Question

Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is $:$

• A. $1/2$
• B. $2/3$
• C. $1/4$
• D. $3/4$

Answer 1

option D correct ans

let length (l) > breath (b)

l+ b =   root ( l^2 + b^2 ) + l/2

l/2 +b = root (l^2 + b ^2 )

square both side

we get

b/l= 3/4