### Home > INT3 > Chapter 11 > Lesson 11.2.3 > Problem11-87

11-87.

Camping Is Us is designing a large supply tent in the shape of a triangular prism that uses a maximum of $500$ square feet of waterproof material. The height of the tent is $8$ feet and the bottom of the triangular entrance is $12$ feet. What is the maximum length that the tent can be made?

Draw a diagram.

Find the area of the two triangular end pieces.

Find the width of the two side pieces.

If $x$ is the length of the tent, write an equation showing that the sum of the five sides must be $\le500$.

$x = 12.625$
So probably $12.5$ or $12$ feet.