A cow is tethered with a 14-meter rope at the corner of a rectangular field.

The field's perimeter where the cow may graze is as follows:

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answer is D.

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Detailed Solution

Concept: We will first construct the figure in accordance with the instructions, after which we will note that we must determine the area of a quadrant of a circle whose radius is equal to the length of rope used to tie the cow to the corner of a rectangular shape. We shall apply the following quadrant of a circle area formula.

We have been informed that a cow is tied with a 14-meter rope at the corner of a

rectangle.
The section of the field where the cow can graze must therefore be identified.
Assume the cow is tethered at corner B of the rectangle with the dimensions ABCD. The cow can then be shown to graze in the quadrant of a circular zone with a radius of 14 meters.
Therefore, the area of the quadrant is equal to the area of the field where the cow can graze.
We know that,

Where, r is the quadrant's radius.
With r = 14m,

Putting the value of

we get,

Consequently, the needed area is

.
Hence, option 4 is correct.

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