SOLUTION: a rectangular pool is 20 feet by 28 feet a deck that has uniform width surrounds the pool. the total area of the pool and deck is 884 what is the width of the deck

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Question 914207: a rectangular pool is 20 feet by 28 feet a deck that has uniform width surrounds the pool. the total area of the pool and deck is 884 what is the width of the deck
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Corner to corner, the entire pool and deck, and using x for the uniform width of the deck,
Total Area is %2820%2B2x%29%2828%2B2x%29=884 square feet.

Just the area for the pool is 20%2A28 square feet.

The area for just the deck is then 884-20%2A28=324 square feet;
highlight_green%28%2820%2B2x%29%2828%2B2x%29-20%2A28=324%29, the difference between the areas of deck & pool and the pool
is the area of just the deck.

STEPS
20%2A28%2B56x%2B40x%2B4x%5E2-20%2A28=324
4x%5E2%2B96x=324
4x%5E2%2B96x-324=0
x%5E2%2B24x-81=0
%28x-3%29%28x%2B27%29=0

The meaningful answer is highlight%28x=3%29 feet.