The length of the shortest side of the pentagon would be:
40.2
Find the length
Given that,
Every side of a pentagon is longer by 20 inches.
No. of sides in pentagon = 5
So,
Ist side of the pentagon [tex]= x[/tex]
IInd Side of the pentagon [tex]= x + 20[/tex]
IIIrd Side of the pentagon [tex]= x + 40[/tex]
IVth Side of the pentagon [tex]= x + 60[/tex]
Vth Side of the pentagon [tex]= x + 80[/tex]
We know that,
Perimeter = Sum of all the sides
Since the perimeter is 401 inches, the side can be determined through:
[tex]401 = x+x+20+x+40+x+60+x+80[/tex]
⇒ [tex]401 = 5x + 200[/tex]
⇒ [tex]401 - 200 = 5x[/tex]
⇒ [tex]201/5 = x[/tex]
∵ [tex]x = 40.2[/tex]
Thus, 40.2 is the correct answer.
Learn more about "perimeter" here:
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