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

Let x be the original width, then the original length = x+2
New length = (x+2)+5 = x+7
Area = length x width
60 = (x+7) x
x^2 + 7x -60 =0
x=5
original area = x (x+2) = 5(5+2) =?
Can you work it out?

Answer 2

doesn't it come to 30ft2

Answer 3

Why does it?

Answer 4

35ft2