Answer:
6084 [tex]\text{ft}^2[/tex].
Step-by-step explanation:
Please find the attachment.
We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 [tex]\text{ft}^2[/tex] and the area of the A/C building is 900 [tex]\text{ft}^2[/tex].
We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.
[tex]a^2+b^2=c^2[/tex]
We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.
Upon substituting our given information in Pythagoras theorem, we will get:
[tex]5184+900=c^2[/tex]
[tex]6084=c^2[/tex]
Therefore, the area of electrical building is 6084 square feet.
