To solve the problem, we can use the formula:
Final Area = (1 + Percent Increase/100) x (1 - Percent Decrease/100) x Original Area
Let's say the original length and width of the photo were L and W, respectively, so the original area was:
Original Area = L x W
After increasing the length by 30%, the new length becomes:
New Length = L + 0.3L = 1.3L
After decreasing the width by 10%, the new width becomes:
New Width = W - 0.1W = 0.9W
So the final area becomes:
Final Area = 1.3L x 0.9W = 1.17LW
The percent change in area can be calculated as:
Percent Change in Area = ((Final Area - Original Area) / Original Area) x 100%
Substituting the values, we get:
Percent Change in Area = ((1.17LW - LW) / LW) x 100%
Percent Change in Area = (0.17LW / LW) x 100%
Percent Change in Area = 17%
Therefore, the area of the final photo changed by 17%.
A photographer has to change the size of his cover photo. He increase the length by 30% and decrease the width by 10%.. By what percent was the area of the final photo changed
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