SOLUTION: the area of a square pond is 1000 square m. A path of uniform width is surrounded outside the pond and its area is 369 square m.find outer length of the wall.

Algebra ->  Surface-area -> SOLUTION: the area of a square pond is 1000 square m. A path of uniform width is surrounded outside the pond and its area is 369 square m.find outer length of the wall.      Log On


   



Question 942388: the area of a square pond is 1000 square m. A path of uniform width is surrounded outside the pond and its area is 369 square m.find outer length of the wall.
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square pond is 1000 square m. A path of uniform width SURROUNDS THE OUTSIDE OF THE POND, and its area is 369 square m. Find outer length of the wall.

Pond length or width (same because square shape) is sqrt%2810%2A100%29=10%2Asqrt%2810%29.
Let u be the uniform width of the path around the square pond.

Omitting much of the discussion,...
highlight_green%28%28u%2B10sqrt%2810%29%29%5E2-1000=369%29.
Finish this!