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What are the outside diagonal measurements of a rectangular basement with 200 mm (8") concrete walls, whose length is 30 m (98' 5") and width is 20 m (65' 7Γö¼Γò£")?

35.779 m

36.333 m

36.056 m

To find the outside diagonal measurements of a rectangular basement, we start by determining the exterior dimensions of the structure. The given walls are 200 mm (or 0.2 meters) thick.

First, we need to add twice the wall thickness to each dimension of the basement. Since the walls are on both sides of the length and width, the calculations are as follows:

- For the length: 30 m + 2 * 0.2 m = 30.4 m

- For the width: 20 m + 2 * 0.2 m = 20.4 m

Now, we apply the Pythagorean theorem to find the diagonal measurement. The diagonal \(d\) can be calculated using the formula:

\[

d = \sqrt{{\text{length}^2 + \text{width}^2}}

\]

Substituting the adjusted length and width into the equation:

\[

d = \sqrt{{30.4^2 + 20.4^2}}

\]

Calculating each square:

- \(30.4^2 = 924.16\)

- \(20.4^2 = 416.16\)

Adding these together gives:

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36.555 m

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