Question 982388
Hi there,
Make width of path = 'x'
The width of the pool = 46ft
Width of pool + path = 46 + 2x
The length of the pool = 78ft
The length of the pool + path = 78 + 2x
Perimeter = 2 x Width + 2 x Length
320 = 2(46 + 2x)+ 2(78 + 2x)
320 = 92 + 4x + 156 + 4x
Collect like terms
4x + 4x = 320 -92 - 156
8x = 72
x = 9
The path's width is 9ft
Proof:
Perimeter = 2 x Width + 2 x Length
320 = 2(46 + 2x) + 2(78 + 2x)
320 = 2(46 + 18) + 2(78 + 18)
320 = 2(64) + 2(96)
320 = 128 + 192
320 = 320
Hope this helps:-)