244,543 views
42 votes
42 votes
Find the perimeter of the composite figureA) 18 ftB) 14 ftC) 16 ft D) 17 ft

Find the perimeter of the composite figureA) 18 ftB) 14 ftC) 16 ft D) 17 ft-example-1
User Bernat Romagosa
by
3.1k points

1 Answer

14 votes
14 votes

The perimeter of a figure is the sum of all of its sides.

In the given figure we can observe two missing sides, so we need to find its lengths as follows:

So:


\begin{gathered} 3ft+y=4ft \\ y=4ft-3ft \\ y=1ft \\ And \\ x+2ft=5ft \\ x=5ft-2ft \\ x=3ft \end{gathered}

Thus, the perimeter is:


\begin{gathered} P=3ft+5ft+4ft+2ft+y+x \\ P=3ft+5ft+4ft+2ft+1ft+3ft \\ P=18ft \end{gathered}

The answer is A) 18 ft.

Find the perimeter of the composite figureA) 18 ftB) 14 ftC) 16 ft D) 17 ft-example-1
User Shepherd
by
2.8k points