Answer:
25. 0 < x < 22.9
26. 0 < x ≤ 3.3
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
Question 25
[tex]\begin{aligned}\sf Perimeter & < 51.3\\\implies 14.2+14.2+x & < 51.3\\28.4+x & < 51.3\\28.4+x -28.4& < 51.3-28.4\\x & < 22.9\end{aligned}[/tex]
[tex]\textsf{As length is positive: $0 < x < 22.9$}[/tex]
Question 26
[tex]\begin{aligned}\sf Perimeter & \leq 18.7\\\implies 6.4+4.9+4.1+x& \leq 18.7\\15.4+x& \leq 18.7\\15.4+x-15.4& \leq 18.7-15.4\\x& \leq 3.3\\\end{aligned}[/tex]
[tex]\textsf{As length is positive: $0 < x\leq 3.3$}[/tex]
