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Mark has a rectangular fenced lot for exercising his llama. The lot is currently 60 feet wide by 80 feet long. He is going to double the length of all four sides of the lot. Which statement describes the new area of the lot? The area will be 2 times as large. The area will be 4 times as large. The area will be 3 times as large. The area will be 6 times as large.

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Problem

Mark has a rectangular fenced lot for exercising his llama. The lot is currently 60 feet wide by 80 feet long. He is going to double the length of all four sides of the lot. Which statement describes the new area of the lot? The area will be 2 times as large. The area will be 4 times as large. The area will be 3 times as large. The area will be 6 times as large.​

Solution

For this case the original area is given by:

A= 60ft*80ft = 4800 ft^2

And the new area awould be given by:

A = 2*2" 60ft*80ft= 4 *4800 = 4Ai

Then we can conclude that:

The area would be 4 times larger