Question

You edit a picture with your computer and reduce its area by 20%. You decide you want to undo the reduction. Will the picture be returned to its original size by increasing its current size by 20%? Explain why or why not, justify your reason quantitatively.

Answer 1

Explanation:

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Answer 2

No, the picture will not return to its original size on inreasing the size of picture by 20%

Explanation:

The given problem can be understood in terms of percentage. Let us assume that the original size of pic was 100 pixels.

Now, since we reduce the area of the picture by 20%

New area of the picture would be 80 (since 20% of 100 would be 20)

To compensate for the loss, we increase the area by 20%. This is to be kept in mind, that the increase in area is on the already reduced area which is 80.

Hence 20% of 80 would be 16. Thus, new area of the picture is 80+16= 96

Hence, we find that new area of the picture is not the same as original area. This is because the net increase of 20% is added on the reduced area (original picture was reduced by 20%).