Answer :
To find the perimeter of the triangle, we need to sum the lengths of all three sides. The side lengths are given as:
1. [tex]\( 8 \, \text{semanas} + 8x \)[/tex]
2. [tex]\( 3 \, \text{semanas} + 10 \, \text{años} \)[/tex]
3. [tex]\( 4 \, \text{años} + 8x \)[/tex]
We will add these expressions step by step.
1. Add the constants related to "semanas" :
[tex]\( 8 \, \text{semanas} \)[/tex] and [tex]\( 3 \, \text{semanas} \)[/tex].
So, [tex]\( 8 \, \text{semanas} + 3 \, \text{semanas} = 11 \, \text{semanas} \)[/tex].
2. Add the constants related to "años" :
[tex]\( 10 \, \text{años} \)[/tex] and [tex]\( 4 \, \text{años} \)[/tex].
So, [tex]\( 10 \, \text{años} + 4 \, \text{años} = 14 \, \text{años} \)[/tex].
3. Add the terms related to "x" :
[tex]\( 8x \)[/tex] and [tex]\( 8x \)[/tex].
So, [tex]\( 8x + 8x = 16x \)[/tex].
Now, we combine these results to form the complete expression for the perimeter:
[tex]\( \text{Perimeter} = 11 \, \text{semanas} + 16x + 14 \, \text{años} \)[/tex]
This is the simplified expression representing the perimeter, in centimeters, of the triangle.
1. [tex]\( 8 \, \text{semanas} + 8x \)[/tex]
2. [tex]\( 3 \, \text{semanas} + 10 \, \text{años} \)[/tex]
3. [tex]\( 4 \, \text{años} + 8x \)[/tex]
We will add these expressions step by step.
1. Add the constants related to "semanas" :
[tex]\( 8 \, \text{semanas} \)[/tex] and [tex]\( 3 \, \text{semanas} \)[/tex].
So, [tex]\( 8 \, \text{semanas} + 3 \, \text{semanas} = 11 \, \text{semanas} \)[/tex].
2. Add the constants related to "años" :
[tex]\( 10 \, \text{años} \)[/tex] and [tex]\( 4 \, \text{años} \)[/tex].
So, [tex]\( 10 \, \text{años} + 4 \, \text{años} = 14 \, \text{años} \)[/tex].
3. Add the terms related to "x" :
[tex]\( 8x \)[/tex] and [tex]\( 8x \)[/tex].
So, [tex]\( 8x + 8x = 16x \)[/tex].
Now, we combine these results to form the complete expression for the perimeter:
[tex]\( \text{Perimeter} = 11 \, \text{semanas} + 16x + 14 \, \text{años} \)[/tex]
This is the simplified expression representing the perimeter, in centimeters, of the triangle.
