Answer:
41 units
Step-by-step explanation:
Use the Pythagorean Theorem
c^2 = a^2 + b^2
c^2 = 9^2 + 40^2
c^2 = 81 + 1600
c^2 = 1681
Take the square root of both sides
c = 41
The length of the diagonal is 41 units
The Pythagoras' rule states that the sum of the hypotenuse squared is equal to the sum of both the opposite squared and the adjacent squared.
i.e
hyp² = opp² + adj²
The shape of the rectangle takes a right angle triangle with the:
hyp² = 40² + 9²
hyp² = 1600 + 81
hyp² = 1681
hyp = [tex]\mathbf{\sqrt{1681}}[/tex]
hyp = 41 units
Learn more about Pythagoras' rule here:
https://brainly.com/question/343682
