95.2k views
5 votes
A flower bed is in theShape of a trianglewith one side twice thelengththe ShortestSidethe third side is 27 Peet more thonthelength of the Shortest Side. Find the dimensionsthe penmeter is 179 feet.

User Kathiria
by
3.4k points

1 Answer

5 votes

First, we can draw a picture to understand more easily what the exercise asks of us:

Then, if they tell us that the perimeter is 179 feet, we have:


x+2x+27+x=179

Because the perimeter is the sum of all the sides of a geometric figure. So that,


\begin{gathered} x+2x+27+x=179 \\ 4x+27=179 \\ 4x=179-27 \\ 4x=152 \\ x=(152)/(4) \\ x=38 \end{gathered}

Then the other sides measures


\begin{gathered} 2x=2\cdot38=76 \\ \text{An the third side:} \\ 27+x=27+38=65 \end{gathered}

Finally,

A flower bed is in theShape of a trianglewith one side twice thelengththe ShortestSidethe-example-1
A flower bed is in theShape of a trianglewith one side twice thelengththe ShortestSidethe-example-2
User Nick Babcock
by
3.5k points