SOLUTION: What would be the percent increase in the area of a rectangular garden if the length and width of the garden are both increased by 30%?

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Question 1063139: What would be the percent increase in the area of a rectangular garden if the length and width of the garden are both increased by 30%?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say the rectangle is originally with length 2 and width 1.

Applying a 30% increase to both dimensions gives

new length = (old length)*1.3 = 2*1.3 = 2.6
new width = (old width)*1.3 = 1*1.3 = 1.3

The old rectangle is 2 by 1 with area 2*1 = 2 square units
The new rectangle is 2.6 by 1.3 with area 2.6*1.3 = 3.38

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To summarize things so far, the old area is 2 and the new area is 3.38

The difference is 3.38-2 = 1.38

Divide that result by the original area (2) and then multiply by 100 to convert to a percentage

1.38/2 = 0.69
0.69*100 = 69%

So if you increase the length and width by 30%, then the area increases by 69%

Final Answer: 69%