The length of the square plot in which roses are planted is 2 meters greater than the length of the square plot in which marigolds are planted. How much bigger in area is the rose plot than the marigold plot?

1 Answer
May 24, 2018

4 times the length of the marigold plot plus 4

Explanation:

Let xx = length of the marigold plot.
So, the area of the marigold plot is A_m= x^2Am=x2 .
The length of the rose plot is 2 meters more than the marigold plot, that is, x+2x+2 . So, the area of the rose plot is A_r = (x+2)^2Ar=(x+2)2

The difference between the plots is A_r - A_mArAm :
= (x+2)^2 - x^2=(x+2)2x2
= x^2 + 4x + 4 - x^2=x2+4x+4x2
= 4x + 4=4x+4

So the answer is variable, and depends on the length of the marigold plot.