Question

an umbrella 50 inches long can lie on the bottom of trunk whoes length and width is??​

Answer 1

TIP :-

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

$(a)d = \sqrt{ {26}^{2} + {30}^{2} } </strong><strong>≈</strong><strong>39.69 \\ (b)d = \sqrt{ {34}^{2} + {36}^{2} } </strong><strong>≈</strong><strong>49.51 \\ (c)d = \sqrt{ {31}^{2} + {31}^{2} } </strong><strong>≈</strong><strong> 43.84 \\ (d) = \sqrt{ {40}^{2} + {21}^{2} } </strong><strong>≈</strong><strong> 45.17 \\ (e)d = \sqrt{ {40}^{2} + {30}^{2} } = 50$

As we can see, the umbrella can lie just in the last rectangle.

As we can see, the umbrella can lie just in the last rectangle.Therefore, the correct answer is the option E.

(d=50)

I hope it can help you.

(⬟☛ pranjal Krishna help desk. )

Answer 2

Option(d), An umbrella 50 inch long can lie on the bottom of a trunk whose length and width are, respectively 40 and 30 inches.

Given: The length of the umbrella = 50 inches.

To Find: The length and breadth of the truck.

Solution: The length and breadth respectively given in the options are (26,30), (39,36), (31,31 ), (40,21), (40,30)

• This shows the umbrella can only be kept diagonally. since, the length of the umbrella exceeds the possible lengths and breadth given.

• Therefore, let's find the length of the diagonal of all possible lengths and breadth

To find the length of a diagonal with given length A and B = $\sqrt{A^{2}+B^{2} }$

$\sqrt{26^{2}=30^{2} }$ = 39.69

$\sqrt{39^{2}+36^{2} }$ = 49.51

$\sqrt{31^{2}+31^{2} }$ = 43.84

$\sqrt{40^{2} +21^{2} }$ = 45.17

$\sqrt{40^{2}+30^{2} }$ = 50

Therefore, An umbrella 50 inch long can lie on the bottom of a trunk whose length and width are, respectively 40 and 30 inches.

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