This rectangular prism is intersected by a plane that contains points N, P, U, and R.

What is the perimeter of the cross section?

Enter your answer in the box. Round only your final answer to the nearest tenth.

This rectangular prism is intersected by a plane that contains points N P U and R What is the perimeter of the cross section Enter your answer in the box Round class=

Respuesta :

The answer is 44.3 ft.

Answer:

The perimeter is : 44.3 ft

Step-by-step explanation:

Two of the parallel sides ST and NP of the plane will each equal = 6  feet

Side PU will be [tex]PU^{2}= 6^{2}+15^{2}[/tex]

[tex]PU^{2}=36+225[/tex] = 261 feet

[tex]PU=\sqrt{261}[/tex] =16.155 feet

So, the perimeter will be [tex]2(6+16.155)[/tex] = 44.31 feet

Rounding this final answer to the nearest tenth we get 44.3 feet.