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
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.
I am assuming that you meant [tex]25ft^2[/tex], [tex]35ft^2[/tex], and [tex]30ft^2[/tex], as I had the same question. Therefore, the answer is [tex]35 ft^2[/tex].
