Final answer:
The length of the diagonal of a rectangular plot that is 79 yards wide and 88 yards long is approximately 118.3 yards when calculated using the Pythagorean theorem.
Step-by-step explanation:
To find the length of the diagonal of a rectangular plot of land measuring 79 yards wide by 88 yards long, we can use the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Let c be the length of the diagonal (hypotenuse), and a and b be the width and length of the rectangle respectively.
c = √(a2 + b2)
Plugging in the values:
c = √(792 + 882)
c = √(6241 + 7744)
c = √(13985)
c = 118.3 (to the nearest tenth)
So, the length of the diagonal is approximately 118.3 yards.