Considering the scale factor of the reduction, it is found that the area of the new rectangle is of 6 square inches.
What is the area of a rectangle?
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem, the rectangle is reduced by a scale factor of 1/2, hence:
[tex]l \rightarrow \frac{l}{2}, w \rightarrow \frac{w}{2}[/tex]
Then, the area is given by:
[tex]A = lw = \frac{l}{2} \times \frac{w}{2} = \frac{lw}{4}[/tex]
A rectangle has an area of 24 square inches, hence:
[tex]lw = 24[/tex]
Thus:
[tex]A = \frac{lw}{4} = \frac{24}{4} = 6[/tex]
The area of the new rectangle is of 6 square inches.
More can be learned about the area of a rectangle at https://brainly.com/question/10489198
