Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
A rectangular paper, when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides. What is the area of the paper?
(a)$140 \mathrm{cm}^{2}$
(b)$240 \mathrm{cm}^{2}$
(c)$560 \mathrm{cm}^{2}$
(d)None of these
Answer
Answer (as printed):
Explanation
When folded along breadth, we have : $2\left(\frac{l}{2}+b\right)=34$ or $l+2 b=34$ When folded along length, we have : $2\left(l+\frac{b}{2}\right)=38$ or $2 l+b=38$ Solving (i) and (ii), we get : $l=14$ and $b=10$. ∴ Area of the paper $=(14 \times 10) \mathrm{cm}^{2}=140 \mathrm{cm}^{2}$.