Answer:
So, the inequality is
[tex]x(125-x)\geq 2500[/tex]
Step-by-step explanation:
Since, the shape of ocean front is rectangular
Let's assume length of rectangle is x feet
width of rectangle us y feet
we are given
An ocean front lot has a perimeter of 250 feet
so, we get
[tex]2x+2y=250[/tex]
now, we can solve for y
[tex]x+y=125[/tex]
[tex]y=125-x[/tex]
now, we can find area
[tex]Area=xy[/tex]
now, we can plug back y
[tex]Area=x(125-x)[/tex]
an area of at least 2500 square feet
so, we get
[tex]x(125-x)\geq 2500[/tex]
