The percentage increase in the area of a rectangle.if each of its side is increased by 20%is
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If the sides of a rectangle is increased by 20% ,then its area will be increased by 30.56%.
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Step-by-step explanation:
Let original length = x metres and original breadth = y metres.
Original area = (xy) m2.
New length =(120/100x)m=(6/5x)m.
New breadth =(120/100y)m=(6/5y)m.
New Area =(6/5x × 6/5y)m2=(36/25xy)m2.
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25) or (11/25)xy
Hence, Increase % =(11/25xy × 1/xy × 100)%= 44%.
Read more on Brainly.in - https://brainly.in/question/7040676#readmore
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