A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and it’s long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio

• CastleRook: The length of the new patio will be evaluated as follows:
  The area scale factor=(area of new patio)/(area of original patio)
  =360/250
  =36/25
  but
  Linear scale factor=√(area scale factor)
  Linear scale factor=√(36/25)=6/5
  thus the length of the patio will be:
  length=(linear scale factor)*(length of the original patio)
  =6/5×12.5=15 ft