Question

the foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m. question: to the nearest meter, what is the distance from the top left corner of the foundation to the bottom right corner? 19 27 36 38

Explanation:

Step1: Apply Pythagorean theorem

The diagonal $d$ of a rectangle with length $l = 20$m and width $w=18$m is given by $d=\sqrt{l^{2}+w^{2}}$.

Step2: Substitute values

$d=\sqrt{20^{2}+18^{2}}=\sqrt{400 + 324}=\sqrt{724}$.

Step3: Calculate square - root and round

$\sqrt{724}\approx26.9$m. Rounding to the nearest meter, $d\approx27$m.

Answer:

27