the perimeter of a rectangle is 64 feet. describe the possible lengths of a side if the area of the rectangle is not to exceed 207 square feet.

Length of Rectangle is 23 feet and width is 9 feet.

Step-by-step explanation:

Given:

Area of rectangle = 207 square feet

Perimeter of rectangle = 64 feet

We need to find length l and width w.

Solution:

Perimeter of Rectangle =

Substituting the given values we get,

Now, Area of Rectangle =

Substituting Values of Area and length we get

Solving for both equation we get,

Now we get 2 values for width, let us assume 1 value which is lower as width is always lower than length

so width w = 9 feet

length l =

Length of Rectangle is 23 feet and width is 9 feet.