The perimeter of a rectangular campsite is 64m and its area is 207m^2. find the length and breadth of the campsite

The length is and the breadth is

Step-by-step explanation:

Let

x ----> the length of a rectangular campsite

y ----> the breadth of a rectangular campsite

we know that

The perimeter of a rectangle is equal to

so

------> equation A

The area of a rectangle is equal to

so

-----> equation B

substitute equation A in equation B

Solve the quadratic equation by graphing

The solution is ( I assume that the length is  greater than the breadth)

see the attached figure

Find the value of y

therefore

The length is and the breadth is