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1/17/2013 8:40:23 PM
7
Calculus problem
A rectangular swimming pool is to be built with an area of 1800 square feet. The owner wants 5-foot wide decks along either side and 10-foot wide decks at the two ends. Find the dimensions of the smallest piece of property on which the pool can be built satisfying these conditions.
Solve using calculus
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5 RepliesCalculus tutor right here! Lets say the pool has width x and height y. Our constraining equation is therefore: 1800 = xy Lets say the width of the deck on the x sides are 5, and the width of the deck on the y side are 10, so your equation for total area of the pool would be: Area = (y+2*5)(x+2*10) Solve for one variable, take a derivative, set it equal to zero, solve for the variable, you know the drill from here. I could draw a picture if this is still confusing.
