Answer:the length of the diagonal is 31.6 units
Step-by-step explanation:
The triangle formed by the length, width and diagonal of the rectangle is a right angle triangle.
To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse^2 = opposite side ^2 + adjacent side^2
From the information given
Opposite side = W = 10 units
Adjacent side = L = 30 units
Hypotenuse = diagonal = d units
Therefore,
d^2 = 10^2 + 30^2
d^2 = 100 + 900
d^2 = 1000
d = √1000
d = 31.6 units
