# 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?

Jul 10, 2018

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

#### Explanation:

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 $a = l \cdot w \mathmr{and} l \cdot 2 = 15$

$\therefore l = \frac{15}{2} = 7.5$ yards.

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

$p = 2 \cdot 7.5 + 2 \cdot 2 = 15 + 4 = 19$ yards

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