Adding up for the entire area

You re contemplating putting in a circular above-ground swimming pool, but you re not sure whether you have enough room. There s not only the pool itself, but also the 3-foot-wide deck to consider. 

determine the total square footage allowed by the ordnance. Then try to maximize the size of the pool. Your main constraint will be the width of the yard — you may have to settle for a smaller pool than allowed or go for another shape. Your total square footage is 120 x 40 = 4,800 square feet. 

You have a fish pond on your property that s a perfect circle with a diameter of 100 feet. In the exact center of your fish pond, there s a flagpole. You want to tie a rope to that flagpole, but your rope is only 101 feet long, and you don t 

Twenty-five percent of 4,800 square feet is 1,200 square feet. To get the biggest pool possible, you want the area of the pool plus the deck to be 1,200 square feet (25 percent). Let the radius of your pool be represented by r. Add a 3-foot deck, and the total radius is r + 3. Now use the area formula to solve for r. 

The radius of the pool should be about 16.54 feet. Add the 3-foot deck, and it makes the total 19.54 feet. The pool plus the deck just fit the width of the yard. 

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