The length of a rectangular field is 6 meter more than twice its breadth. if the Perimeter of the field is 132 meters, find the length and breadth of the field.
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The length of a rectangular field is 6 meter more than twice its breadth. if the Perimeter of the field is 132 meters, find the length and breadth of the field.
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Answer:
Let the breadth of the field be \(x\)
Then , length of the field =\(2x+6\)
Perimeter of the field \(=132\) m
So,\(2(l+b)=132\)
\(\implies 2(x+2x+6)=132\)
\(\implies 2(3x+6)=132\)
\(\implies 3x+6=66\)
\(\implies 3x=60\)
\(\implies x=\frac{60}{3}=20\)
Hence, breadth of the field is \(20\) m and length of the field is \(2\times 20+6=46\)m.
Answer:46m,20 m
Step-by-step explanation:
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