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vaibhav101
- Master | Next Rank: 500 Posts
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- Joined: Mon May 01, 2017 11:56 pm
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Hello.
Here, we have to imagine the trunk as a rectangle, and we want to find its dimensions such that a 50 inches long umbrella can lie on it. If one of the sides of the rectangle (length or width) would be 50, then the umbrella would lie parallel to the respective side.
But, in the given options, all dimensions are lesser than 50. Therefore, we have to calculate the length of the diagonals of each given rectangle (the diagonal is the largest distance between two points of a rectangle).
The length of each diagonal is $$\left(A\right)\ D=\sqrt{26^2+30^2}\approx39.69\ $$ $$\left(B\right)\ D=\sqrt{34^2+36^2}\approx49.51$$ $$\left(C\right)\ D=\sqrt{31^2+31^2}\approx43.84$$ $$\left(D\right)\ D=\sqrt{40^2+21^2}\approx45.17$$ $$\left(E\right)\ D=\sqrt{40^2+30^2}=50.$$ As we can see, the umbrella can lie just in the last rectangle.
Therefore, the correct answer is the option E.
I hope it can help you.
