SOLUTION: a square garden has a walkway 3 feet wide around its corner edge. If the area of the entire garden, including walkway is 18,000 square feet, then what are the dimensions of the pla

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Question 1175511: a square garden has a walkway 3 feet wide around its corner edge. If the area of the entire garden, including walkway is 18,000 square feet, then what are the dimensions of the planted area?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Let x be the dimension of the planted area (the square), in feet.


Then the garden, surrounded by the walkway of the uniform constant width is the square with the side length  (x + 2*3) = (x+6) feet.


Its area is 18000 square feet, which gives this equation


    (x+6)^2 = 18000.


Hence,   x+6 =  = 134 feet (approximately),  and  x = 134 - 6 = 128 feet.     ANSWER

Solved.



Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
corner "edge" or corner "edges"? "Its corner edge" as written means just one of the corners; not all four of them.

x the edge length of the square planted area





------------but probably not the intended interpretation.
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