SOLUTION: A rectangle measures 18m by 24m. What is the sum of the lengths of its diagonals?

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Question 539147: A rectangle measures 18m by 24m. What is the sum of the lengths of its diagonals?
Answer by Mathpassionate(25) About Me  (Show Source):
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A rectangle measures 18m by 24m. What is the sum of the lengths of its diagonals?

We know that a rectangle diagonals are equal.


So, we need to know D1 + D2, which is 2D.

Information provided:

L = 24
W = 18

By the Pythagorean Theorem:

D^2 = L^2 + W^2
D^2 = 24^2 + 18^2
D^2 = 576 + 324
D^2 = 900
D = sqrt%28900%29+
D = 30
Because the problem is asking for the sum of the 2 diagonals, then:

2D = 2*30


The answer is 60.

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