Question

The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in

the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.


What would be the floor plan of the building? Label the diagonal braces

Answer 1

`\sqrt{(150^2)/(2)}=75√(2)\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)`

Explanation:

`a^(2) +b^(2) = 150^(2)`

a=b

`2a^(2) = 150^(2)`

`a =\sqrt{150^(2)/2 }`

Answer 2

Explanation:

We are using a top down view. We have a square building with side length s. The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)