CAT 2017 Question Paper | Quants Slot 2

CAT Questions

TITA type questions generally put the students in a jiffy. They are mostly never sure about whether their answer is 100% correct. To conquer this ambiguity, it is important for you to practice CAT previous year paper so that you do not hold yourself back when attempting TITA questions in your CAT Question Paper. Go on to solve the below question on Geometry to judge your accuracy for the question, the topic and your online CAT preparation in general. Do not jump to the explanation before having a crack at it yourself.

Question 19 : If three sides of a rectangular park have a total length 400 ft., then the area of the park is maximum when the length (in ft.) of its longer side is [TITA]

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Geometry

Given that the three sides of a rectangular park have a total length 400ft
i.e. 2x + y = 400 ft
xy should be maximum
y = 400 – 2x
x × (400 – 2x) = max
x × (200 – x) = max
Let us check for different values

The area of the park is maximum when x = 100 and y = 200.
The length of the longer side y is equal to 200 ft.

The question is "If three sides of a rectangular park have a total length 400 ft., then the area of the park is maximum when the length (in ft.) of its longer side is [TITA]"

Hence, the answer is 200