GATE ME 2018 Set 2 — Question 7
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
A wire would enclose an area of , if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?
Correct answer
(C) 1243
Solution
1.Area of the original square = . Side .
2.Total length of the wire (perimeter) = .
3.Let the lengths of the two pieces be (longer) and (shorter). Given .
4. and .
5.The longer piece () is bent into a square. Side . Area .
6.The shorter piece () is bent into a circle. Circumference . Area .
7.Total area = .
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