the area of rectangular plot is 460m square. If the length is 15% more than its breadth, find the perimeter of the plot.
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Answer:
86 m
Step-by-step explanation:
=>Area of rectangular plot =460m²
=>Length of the plot is 15% more than it's breadth.
To find:-
=>Perimeter of the plot
Solution:-
=>Let the breadth of the plot be x
=>Then, length of the plot=15% of x
=>15x/100
=>3x/20
=>x+3x/20
=>23x/20
=>Area of a rectangle=Length×Breadth
=>23x/20×x=460
=>23x²/20=460
=>x²=460×20/23
=>x²=400
=>x=20
=>Thus, breadth of the plot is 20m
=>And length=23×20/20=23m
=>Perimeter of a rectangle=2(l+b)
=>2(20+23)
=>2×43
=>86m
Thus, perimeter of the plot is 86m.
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