Answer:
The value of y is 3 cm.
Step-by-step explanation:
Given,
Perimeter of triangle = [tex]29\ cm[/tex]
Solution,
Lets redraw the triangle with nomenclature ABC, given in the attachment.
∴P(ΔABC) = 29 cm (P stands for perimeter)
Length of AB = [tex]y+9[/tex]
Length of BC = [tex]2y[/tex]
Length of CA = [tex]4y-1[/tex]
Now, we all know that the perimeter of a triangle is sum of all the three sides of triangle.
P(ΔABC) = Length of AB+Length of BC+Length of CA
On substituting the values, we get;
[tex](y+9)+2y+(4y-1)=29\\y+2y+4y+9-1=29\\7y+8=29\\7y=29-8\\7y=21\\y=\frac{21}{7} =3\ cm[/tex]
Length of AB =[tex]y+9=3+9=12\ cm[/tex]
Length of BC =[tex]2y=2\times3=6\ cm[/tex]
Length of CA =[tex]4y-1=4\times3-1=12-1=11\ cm[/tex]
Hence the value of y is 3 cm.
