A rectangular plot has a concrete path running inner side of the plot is used as a lawn, which has an area of 432 sq.m. If the width of the path is 4 m and the length of the plot is greater than its breadth by 2m, what is the area of the rectangular plot?
1) 980 m^2
2) 975 m^2
3) 984 m^2
4) 960 m^2
5) 965 m^2

• Let width of plot be 'b', length = b+2.
  Then b(b+2) - (b-8)(b-6) = 432
  Thus width = 30 m, length = 32 m and area = 960 sq.m
• 8 years agoHelpfull: Yes(1) No(9)
• Let the breadth of the rectangle plot be x m.
  
  Given, width of the path = 4 m
  
  Area of the path = 432 m^2
  
  and length of rectangular plot = (x + 2) m
  
  2 × [4x (x + 2) + 4x – 2 × 4 × 4] = 432 m^2
  
  8 (x + 2 + x – 8) = 432 m2
  
  8 (2x – 6) = 432
  
  16 (x – 3) = 432  x = 30 m
  
  Area of plot = x × (x + 2) = 30 × 32 = 960 m^2
• 8 years agoHelpfull: Yes(0) No(2)
• ans=960m^2
• 6 years agoHelpfull: Yes(0) No(0)