Question

An ocean front lot has a perimeter of 250 feet and an area of at least 2500 square feet. Write an inequality describing this situation

Answer 1

Answer:

So, the inequality is

$x(125-x)\geq 2500$

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

$2x+2y=250$

now, we can solve for y

$x+y=125$

$y=125-x$

now, we can find area

$Area=xy$

now, we can plug back y

$Area=x(125-x)$

an area of at least 2500 square feet

so, we get

$x(125-x)\geq 2500$