Afarmer builds a fence to enclose a rectangular pasture. he uses 155 feet of fence. find the total area of the pasture if it is 45.5 feet long

The area for the perimeter of a rectangle is:
P = 2l + 2w
In this problem, we are given that P = 155 and l = 45.5. To solve for area, we must find w. To do this, plug in the given info and isolate the w like so:

Now we know w = 32. Knowing all the necessary info, we can use the area formula, A=lw, to solve for A.


The area is 1,456 sq ft. 

Hope this helps!