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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.

Sagot :

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:

[tex]x+2x+27+x=179[/tex]

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

[tex]\begin{gathered} x+2x+27+x=179 \\ 4x+27=179 \\ 4x=179-27 \\ 4x=152 \\ x=\frac{152}{4} \\ x=38 \end{gathered}[/tex]

Then the other sides measures

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

Finally,

View image BladeV221224
View image BladeV221224