Respuesta :
Answer:
44
Step-by-step explanation:
1) we know that opposite sides of a parallelogram are congruent so
4x+28=10x+4
2) subtract 4 on both sides
4x+24=10x
3)subtract 4x on both sides
24=6x
4)divide by 6 on both sides
4=x
5)substitute for x
length of RS =10(4)+4
length of RD=44
The length of the side RS of the parallelogram PQRS is 44.
Given,
- Side PQ
- Side QR
- Side RS
As we know in a parallelogram, the opposite sides are parallel and equal. So, in this case, side PQ is equal to side RS.
Computation:
[tex]\begin{aligned}\text{Side RS}&=\text{Side PQ}\\10\text{X}+4&=4\text{X}+28\\10\text{X}-4\text{X}&=28-4\\6\text{X}&=24\\\text{X}&=4\end{aligned}[/tex]
When the value of X is determined to be 4.
By using the substitution method the value of X will be used in the side RS to determine the length of RS.
[tex]\begin{aligned}\text{RS}&=10\text{X}+4\\&=(10\times4)+4\\&=40+4\\&=44\end{aligned}[/tex]
Therefore, the length of RS is 44.
To know more about parallelogram, refer to the link:
https://brainly.com/question/1563728
