A rectangular piece of 150 sq m has a length which is 1m more than the 4 times the breadth. What is the perimeter of the piece?
Correct answer: C
Explanation
Let its breadth be = x m.
So length will be = (4x+1) m.
Now,
x * (4x+1) = 150
or, 4x^2+x-150 = 0
or, (4x+25)(x-6) = 0
Either 4x = -25 or x = 6
As breadth can not take negetive value so x = 6
So its length is 4*6+1 = 25
So perimeter will be 2*(25+6)=62 mLet its breadth be = x m.
So length will be = (4x+1) m.
Now,
x * (4x+1) = 150
or, 4x^2+x-150 = 0
or, (4x+25)(x-6) = 0
Either 4x = -25 or x = 6
As breadth can not take negetive value so x = 6
So its length is 4*6+1 = 25
So perimeter will be 2*(25+6)=62 m
C
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