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allsm [11]
3 years ago
10

Tri-Star Industries employs electrical, plumbing, and air conditioning technicians. Their home office is made up of three square

buildings, one for each department, with a triangular atrium in the middle. If the area of the Plumbing building is 5,184 ft2 and the area of the A/C building is 900 ft2,
what is the area of the Electrical building?

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:

6084 \text{ft}^2.

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 \text{ft}^2 and the area of the A/C building is 900 \text{ft}^2.

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.

a^2+b^2=c^2

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:

5184+900=c^2

6084=c^2

Therefore, the area of electrical building is 6084 square feet.

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