Question

The perimeter of a quadrilateral is 38 yards. If three of the sides measure 5.8 yards, 7 yards, and 11.2 yards, what is the length of the fourth side?24 yd62 yd20.3 yd14 yd

Answer 1

Let:

x = Unknown side

Since the perimeter of a figure is the sum of all sides, we can conclude:

$\begin{gathered} P=5.8+7+11.2+x \\ where: \\ P=38 \\ so: \\ 38=5.8+7+11.2+x \end{gathered}$

Add like terms:

$38=24+x$

Solve for x:

$\begin{gathered} x=38-24 \\ x=14 \end{gathered}$

Answer:

14 yd