SOLUTION: The Lincoln Memorial Reflecting Pool in Washington, D.C. measures 2029 feet long and 167 feet wide. It includes a paved path of uniform width around the four edges. The perimeter o

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The Lincoln Memorial Reflecting Pool in Washington, D.C. measures 2029 feet long and 167 feet wide. It includes a paved path of uniform width around the four edges. The perimeter o      Log On


   



Question 986117: The Lincoln Memorial Reflecting Pool in Washington, D.C. measures 2029 feet long and 167 feet wide. It includes a paved path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 4496 feet. Determine the width of the paved path.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Width of path = 'x'
Length = 2029 + 2x
Width = 167 + 2x
Perimeter = 2 x Length + 2 x Width
4496 = 2(2029 + 2x) + 2(167 + 2x)
4496 = 4058 + 4x + 334 + 4x
Collect like terms
8x = 4496 - 4392
8x = 104
x = 13 feet
Width of path = 13 feet
Hope this helps :-)