The foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18m. To the nearest meter, what is the distance from top left corner of the foundation to the bottom right corner. (explain step by step plz)

Respuesta :

Answer:

The distance is [tex]27\ m[/tex]

Step-by-step explanation:

we know that

The distance from top left corner of the foundation to the bottom right corner is equal to the diagonal of the rectangle

Applying the Pythagoras Theorem, determine the length side of the diagonal

[tex]D^{2}=L^{2}+W^{2}[/tex]

we have

[tex]L=20\ m[/tex]

[tex]W=18\ m[/tex]

substitute

[tex]D^{2}=20^{2}+18^{2}[/tex]

[tex]D^{2}=724[/tex]

[tex]D=27\ m[/tex]