Jack is building a rectangular dog pen that he wishes to enclose. The width of the pen is 2 yards less than the length. If the area of the pen is 15 square yards, how many yards of fencing would he need to completely enclose the pen?

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Answer 1 · 2018-07-10T11:15:18

#19# yards of fencing is required to enclose the pen.

Width of the rectangular pen is #w=2#yards

Area of the rectangular pen is #a=15#sq.yds

Let length of the rectangular pen is #l# yards

Area of the rectangular pen is #a=l*w or l*2=15#

#:. l=15/2=7.5# yards.

Perimeter of the rectangular pen is #p=2 l +2 w# or

#p=2*7.5 +2 *2 = 15+4=19# yards

#19# yards of fencing is required to enclose the pen. [Ans]