Answer:
1 3/8 ft.
Step-by-step explanation:
The cabinet's center will be at the same place as the wall's center. The wall's center is at its 3 1/8 ft mark. The cabinet's center will also be at the wall's 3 1/8 mark. This means that both sides of the cabinet is 1 3/4 around the center line (if my wording is vague, look at the image). So, we have to find 3 1/8 - 1 3/4, which is 1 3/8 ft.
Subtraction is one of the most basic mathematical operations. The end of the cabinet is 1.375 feet far from the edge of the wall.
Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The centre of the cabinet will lie at half the width of the cabinet, therefore, the centre of the cabinet will be at,
[tex]\text{Centre of the cabinet}= \dfrac{3\frac{1}{2}}{2}[/tex]
[tex]\rm = \dfrac{\frac{(3 \times 2)+1}{2}}{2}\\\\=\dfrac{7}{2 \times 2} = \dfrac{7}{4} = 1.75\ feet[/tex]
Since Bobby wants the cabinet to be at the centre of the wall horizontally, we need to find the centre point of the wall as well, and then align both the centres together, therefore, the centre of the wall is at,
[tex]\text{Centre of the wall} = \dfrac{6\frac{1}{4}}{2}[/tex]
[tex]\rm = \dfrac{\frac{(6 \times 4)+1}{4}}{2}\\\\=\dfrac{25}{2 \times 4} = \dfrac{25}{8} = 3.125\ feet[/tex]
Now, the length between the end of the cabinet from the edge of the wall is the difference between the half the length of the wall and half the length of the cabinet, therefore, the length can be written as,
[tex]\rm Length = \text{Centre of the Wall} - \text{Centre of the Cabinet}\\[/tex]
[tex]\rm = 3.125 - 1.75\\\\= 1.375\ feet[/tex]
Hence, the end of the cabinet is 1.375 feet far from the edge of the wall.
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