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Question

For what value of x the perimeter of the rectangle with length 5(x+6) cm and breadth (2x+6)cm will be 192cm?


Solution

we know
Perimeter of rectangle = 2L + 2W.
Where L is length =5(x+6) cm
B is breadth =(2x+6)cm
P is perimeter=192 cm
substitute value of length and breadth in the formula of perimeter
we will get 
2*5(x+6)+2*(2x+6)=192
10x+60+4x+12=192
14x+72=192
14x=120
x=120/14
x=8.5714
So value of x will be 8.5714
Answer=8.5712

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