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Answer :
Final answer:
The length of the diagonal of the rectangular field is 50 meters.
Explanation:
To find the length of the diagonal of a rectangular field, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of the field is the base of the right-angled triangle, the width is the height, and the diagonal is the hypotenuse. So, we can use the formula: c^2 = a^2 + b^2, where c is the length of the diagonal, and a and b are the length and width of the field, respectively.
Plugging in the values, we get c^2 = 40^2 + 30^2. Simplifying, c^2 = 1600 + 900. Adding the two values, we get c^2 = 2500. Taking the square root of both sides, we find that c = 50.
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