The perimeter of a rectangular garden whose length is 4 m more than its width is 36m .Find the dimension by graphical method
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Let the length of the garden be x m and its width be y m.
Then, perimeter of rectangular garden
= 2 (Length + Width)
= 2(x + y)
Hence, Half perimeter = x + y
But it is given as 36 m.
x + y = 36 …(i)
Hence
x = y + 4
x - y = 4 …(ii)
For finding the solution of eqs. (i) and (ii) graphically, we form table :
For x + y = 36 (See attached pic 1st)
For x - y = 4 (See attached pic 2nd)
Hence, length is 20 m and width is 16 m.
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