If the length of the rectangle is increasedby40% and its breadt
is decreased-by-40%, what will be the percentage change in its
perimeter?
Answers
Answer:
Conclusion: On increasing the length of a rectangle by 40% and decreasing the breadth by 40%, the perimeter increases by 32.73%.
Step-by-step explanation:
hope this helps you
Step-by-step explanation:
Let the length be 1000cm and breadth be 100cm.
Therefore, Perimeter = 2(l+b)
= 2(1000+100)cm
= 2200cm
A/Q. Length increased by 40%.
Breadth decreased by 40%.
Therefore, New length = 1400cm
New breadth = 60cm
Therefore, New perimeter = 2(l+b)
= 2(1400+60)cm
= 2920cm
Difference in perimeter = 720cm
Therefore, percentage change in perimeter = (720/2200×100)%
= 32.72727272...%
Hence, percentage change in perimeter is 32.72727272...%.