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Summer Clouds moderators

04/11/2017 at 23:22
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If the length of each longer side of a rectangle is increased by 75% and each shorter side is increased in length by 25%, what is the overall percent increase in the area of the original rectangle? Express your answer as a decimal to the nearest hundredth.
 




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    Phan Thanh Tinh Coordinator 10/11/2017 at 11:53

    Let a, b be the length and the width of the rectangle. The new area of the rectangle is :

    \(\left(a+75\%.a\right)\left(b+25\%.b\right)=\dfrac{7}{4}a.\dfrac{5}{4}b=\dfrac{35}{16}ab=218.75\%.ab\)

    The answer is : 218.75% - 100% = 118.75%


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