The dimension of a room is the length and width of the room.
From the question, we have:
[tex]L \to[/tex] Number of feet
(a) An expression for the length of the room in yards
In standard unit of conversion
[tex]1ft = \frac{1}{3} yd[/tex]
Multiply both sides by L:
[tex]L \times 1ft = L \times \frac{1}{3} yd[/tex]
[tex]L\ ft = \frac{L}{3} yd[/tex]
Hence, the length of the room in yard is L/3
(b) An expression for the length of the room in unit of 3ft
In (a), we have:
[tex]L \to[/tex] Number of feet
To calculate the length in units of 3 feet, we simply multiply L by 3
[tex]Unit = 3 \times L[/tex]
[tex]Unit = 3L[/tex]
An expression for the length of the room in unit of 3ft is 3L
(c) How many times longer the room is, than 3ft.
In (b), we have:
[tex]Unit = 3L[/tex]
The number of times (n) the room is longer than 3 ft is:
[tex]n = Unit \div 3[/tex]
[tex]n = 3L \div 3[/tex]
[tex]n = L[/tex]
The room is longer than 3 feet, in L times
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