The Perimeter of a Rectangular pig pen is 210Ft. The length is 5ft greater then the width. How do you find the Length?

1 Answer
Mar 13, 2016

Length = 55 ft

Explanation:

Let length be #L#
Let width be #W#

Perimeter#=2W+2L = 210# ...............................(1)

But we are told that #L=W+5" #.........................(2)

So, as we need to find length we need to 'get rid' of #W#
Rearranging equation (2) we gave:

#W=L-5#

Substitute for W in equation (1) gives

#" "2(L-5)+2L=210.............................(1_a)#

Multiply out the bracket

#" "2L-10+2L=210#

Add 10 to both sides

#" "2L+0+2L=220#

#" "4L=220#

Divide both sides by 4

#" "L=220/4 = 55#