A ladder of length 15 ft is placed against a building in such a way that the distance from the top of the ladder to the ground is 12ft. Find the distance from the bottom of the ladder to the building.





The length of a rectangular frame is 7 cm more than the width. the area inside the frame is 98 square cm. Find the width of the frame.



PLEASE HELP !!

• The distance from the bottom of the ladder to the building = 9 feet
  
  Let x be the distance
  
  x^2 + 12^2 = 15^2 (pythagorean theorem)
  x^2 = 81
  x = 9
  
  width of the frame = 7 cm
  
  Let width be x and lenght (x+7)
  x(x+7) = 98
  solving x = 7
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