KVPY SA Exam 2015 Question Paper

2(3a) + 2(a + b) = 76
⇒ 3a + a + b = 38
⇒ 4a + b = 38 ...(i)
& 3a = 4b ...(ii)
Solving (i) & (ii)
16a + 3a = 38 × 4
⇒ 19 a = 38 × 4
⇒ a = 8
⇒ b = 6
∴ perimeter of smaller rectangle = 2(a + b)
= 2 (8 + 6)
= 28