SOLUTION: What is the solution for this word problem: A rectangular garden is 10 feet by 16 feet. When each dimension is increased by the same amount, the area is increased by 40 square feet

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Question 8628: What is the solution for this word problem: A rectangular garden is 10 feet by 16 feet. When each dimension is increased by the same amount, the area is increased by 40 square feet. If x represents the number of feet by which each dimension is increased which equation could be used to find the correct value of x?
Answer by glabow(165) About Me  (Show Source):
You can put this solution on YOUR website!
You know the garden is 10 x 16 = 160 sq. ft.
You know the garden is increased in both directions by x feet.
So the new area is (10+x)(16+x) and now equals 200 sq. ft. [Why?]
So the final equation is x%5E2%2B26x%2B160=200 or x%5E2%2B26x-40=0
Solving this gives an answer near 1.37