Rectangular plot

The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.

Correct result:

S =  64.6875 m2

Solution:

 x+y=3 34=2 (x+1)+2 (2 xy)  x+y=3 6x2y=32  x=194=4.75 y=74=1.75  a=x+1=4.75+1=234=5.75 m b=2 xy=2 4.75(1.75)=454=11.25 m  S=a b=5.75 11.25=103516=103516 m2=64.6875 m2



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