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
Math Tutor
May 24, 2018

4 times the length of the marigold plot plus 4

Explanation:

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

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

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

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