Question

the length of rectangle is increased by 25% while breadth is diminished by 30%, what is the impact on area.

Answer 1

Let Length of rectangle be l.

Let breadth of rectangle be b.

Therefore, Area = lb.

New Length = l + 25/100 x l

                    = 5l/4

New Breadth = b - 30/100 xb

                      = 7b/10

Hence, New area = 5l/4 x 7b/10

                             = 7lb/8

Clearly there is a decrease in area.

Decrease = lb - 7lb/8

               = lb/8

So, Decrease % = (lb/8 x i/lb x 100)%

                          = 25/2%

                         = 12.5%

Hence, there is a decrease in the area by 12.5%.

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