12. If the length of a rectangle is 4 times the
breadth and perimeter is 200 cm, find the length
and breadth of the rectangle.
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Answered by
0
Answer:
Let the breadth of the rectangle be x cm.
Then, length = 3x cm
New breadth =(x+5) cm
New length =(3x−3)cm
Then, (x+5)(3x−3)−3x×x=57
⇒3x
2
+12x−15−3x
2
=57
⇒12x=57+15=72⇒x=6
∴ Breadth = 6 cm, Length = 18 cm
Perimeter =2(6cm+18cm)=2×24cm=48 cm
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Answer:
The length is 80cm and 20cm
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