Question

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

Answer 1

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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Answer 2

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.