You are designing a deck in the shape of an isosceles triangle. The longest side will be against a house and will not have any railing. You can use at most 24 yards of railing for the other two sides of the deck. You want the area of the deck to be at least 50 square yards. Write two inequalities that represent the requirements where x is the length (in yards) of one of the congruent sides.

If your deck ranges between 24 inches and 30 inches from the ground, local building safety codes require your deck to have a railing that is at least 3 feet (36 inches) high, extending from the deck’s surface to the top of the railing. Although this is a general rule, it’s best to check with your local building codes when securing a permit to build your deck to be sure your deck is up to code. However, if your deck is near a steep drop off, embankment, or cliff, you should include a railing for safety purposes.

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