Options 1, 4, and 6 represent the perimeter of the scale model.
Explanation:
Step 1:
The rectangular building has a length of L and a width of W.
The scale model is 24 times smaller than the original building so the length of the scaled building is [tex]\frac{1}{24}L[/tex] and the width is [tex]\frac{1}{24}W[/tex].
Step 2:
The perimeter of any given rectangle is twice the sum of the length and the width of the same rectangle.
The perimeter [tex]=2(length+width).[/tex]
By substituting the values, we get
The perimeter [tex]= 2 (\frac{1}{24}L +\frac{1}{24} W )[/tex], this is the first option.
Step 3:
By expanding this we get [tex]\frac{2}{24}L +\frac{2}{24} W= \frac{1}{12} L + \frac{1}{12} W[/tex], which is the sixth option.
We can also expand it as follows; [tex]2 (\frac{1}{24}L +\frac{1}{24} W ) = \frac{1}{24}L +\frac{1}{24}L +\frac{1}{24} W+\frac{1}{24} W.[/tex]
This is the fourth option.
So options 1,4, and 6 represent the perimeter of the scaled model.
