Question

Is anyone able to give a step by step process to this?

Answer 1

The value of y is 3 cm.

Explanation:

Given,

Perimeter of triangle =
`29\ cm`

Solution,

Lets redraw the triangle with nomenclature ABC, given in the attachment.

∴P(ΔABC) = 29 cm (P stands for perimeter)

Length of AB =
`y+9`

Length of BC =
`2y`

Length of CA =
`4y-1`

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;

`(y+9)+2y+(4y-1)=29\\y+2y+4y+9-1=29\\7y+8=29\\7y=29-8\\7y=21\\y=(21)/(7) =3\ cm`

Length of AB =
`y+9=3+9=12\ cm`

Length of BC =
`2y=2*3=6\ cm`

Length of CA =
`4y-1=4*3-1=12-1=11\ cm`

Hence the value of y is 3 cm.