If a rectangular plot measures 33 feet by 44 feet, what is
the length, in feet, of the diagonal of the plot?
F.
39
G.
47
H.
55
J.
77
K.
87
To find the length of the diagonal, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right triangle.
In this case, the length and width of the plot form the two sides of a right triangle, and the diagonal forms the hypotenuse.
So, using the Pythagorean theorem:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 33^2 + 44^2
Diagonal^2 = 1089 + 1936
Diagonal^2 = 3025
Taking the square root of both sides to solve for the diagonal:
Diagonal = √3025
Diagonal = 55
Therefore, the length of the diagonal of the plot is 55 feet. The answer is H. 55.