A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible lengths of the parking lot.

The perimeter of a shape is the sum of its side lengths

The possible dimension of the parking lot is 46ft by 174ft

Let the dimension of the rectangular parking lot be x and y.

So, we have:

-- perimeter

--- area

Divide both sides of the perimeter equation by 2

Make x the subject

Substitute in

Open brackets

Rewrite as:

Using a calculator, the possible values of y are:

Recall that:

So, we have:

Hence, the possible dimension of the parking lot is 46ft by 174ft

Read more about perimeters and areas at:

link

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So,

So,

So,

General quadratic equation :

Formula :

So, The possible parking lengths are 45.96 feet and 174.031 feet

step-by-step explanation:

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