20. The length of a room exceeds its breadth by
30 cm. If the length is increased by 30 cm and
the breadth is decreased by 20 cm, the area
remains the same. Find the length and breadth
of the room.
A. 120 cm, 150 cm B. 130 cm, 140 cm
C. 110 cm, 160 cm D. 140 cm, 160 cm
Answers
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Answer:
Let the breadth of the room be x m.
Therefore, length =x+3 m
According to the given condition,
x(x+3)=(3+x+3)(x−2)
3x+x
2
=(6+x)(x−2)
3x+x
2
=6x−12+x
2
−2x
x=12
Therefore, length = x+3=15m
Breadth = x=12m
Step-by-step explanation:
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