- A rectangular room has a width of \(x \mathrm {~m}\).
The length of the room is 4 m longer than its width.
Given that the perimeter of the room is greater than 19.2 m ,
- show that \(x > 2.8\)
Given also that the area of the room is less than \(21 \mathrm {~m} ^ { 2 }\),
- write down an inequality, in terms of \(x\), for the area of the room.
- Solve this inequality.
- Hence find the range of possible values for \(x\).