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The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 5 feet, the area of the resulting rectangle is 60 square feet. What is the area of the original rectangle?

25 ft2

30 ft2

35 ft2

Verified Answer :

metchelle

So here is how you solve the given problem.
Let x be the original width. 
The original length is x + 2.
The new length is (x + 2) + 5 so it is x + 7.
A = L x W
60 = (x + 7) (x)
60 = x2 + 7x
x2 + 7x - 60 = 0
Therefore, x would be equivalent to 5.
Original Area = x (x + 2)
        A = 5 (5 + 2)
       A = 35 ft.
Therefore, the answer would be 35 feet, the third option. Hope this answer helps.

SweetyPie12

I am assuming that you meant \(25ft^2\), \(35ft^2\), and \(30ft^2\), as I had the same question.  Therefore, the answer is \(35 ft^2\).

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