Problema Solution

A rectangular pool is 30 feet wide and 40 feet long. It is surrounded on all four sides by a wooden deck that is x feet wide. The total area enclosed within the perimeter of the deck is 3000 square feet. What is the width of the deck?

Answer provided by our tutors

x = the width of the deck, x>=0


the total area is = (width + 2x)*(length + 2x)


(30 + 2x)(40 + 2x) = 3000


by solving we find:


x = 10 ft


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the deck is 10 feet width.


x = the width of the deck, x>=0


the total area is = (width + 2x)*(length + 2x)


(30 + 2x)(40 + 2x) = 3000


by solving we find:


x = 10 ft


click here to see the step by step solution of the equation:


Click to see all the steps



the deck is 10 feet wide.