The length of a rectangular plot is 10 m more then the breadth and the length of its fence is 22m less than 5 times the breadth . find the dimensions of the plot
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Explanation:
The perimeter of an object is the sum of all it's lengths. So in this problem, 80m = side1 + side2 + side3 + side4.
Now a rectangle has 2 sets of equal length sides.
So 80m = 2xSide1 + 2xSide2
And we are told that the length is 10m more than it's breadth.
So 80m = 2xSide1+(10+10) + 2xSide2
So 80m = 2xS1+20 +2S2
80 = 2x + 2y + 20
If it were a square, x + y would be the same
so
60 = 4x side1
so side 1 = 60/4 = 15m
So side 1 = 15m, side 2 = 15m, side 3 = 15m+10m side 4 = 15+10m
So s1 = 15m, s2 = 15m, s3 = 25m, s4 = 25m.
Perimiter = 80m and the length of th e rectangle is 10m longer than the breadth
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Hope u got it
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