Question

If each of the dimensions of a rectangle is increased by 100%,then the area is increased by​

Answer 1

Answer:

Step-by-step explanation:

Let the length and breadth of the original rectangle be l and b respectively.

Now if the sides are increased by 100% that means

l * 100/100 = l and b * 100/100 = b

i.e. l + l = 2l and b + b = 2b

Now the area of rectangle = length * breadth

i.e. 2l * 2b = 4lb

The area of original rectangle was l * b = lb

The difference in the original area and new area is 4lb - lb = 3lb

Percentage increase = (Difference in area / Original area) * 100

i.e. (3lb/lb) * 100 = 300%

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