Find the original length of the reed.
Here, let us suppose:
Now, we have:
We will convert it to square cubits, the area of field becomes:
We have to convert the word problem into equations and then solve it.
Now, we will translate the first measurement into an equation for the length of the field yields:
Now, the second portion of the problem gives us equation for the width of the field in terms of the measurement of the reed:
Now, we are given the total area of the field so recalling the formula for area of a rectangle:
Here, is the area, is the width, and is the length.
Here, we are given the value for the area of the field, and we have already converted it to proper units, thus we get:
Now, we will solve it by using quadratic formula:
Hence, the required answer is .
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