Question

Please help me solve this

Answer 1

25. 0 < x < 22.9

26. 0 < x ≤ 3.3

Explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Question 25

`\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}`

`\textsf{As length is positive: $0 < x < 22.9$}`

Question 26

`\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}`

`\textsf{As length is positive: $0 < x\leq 3.3$}`