To determine the height of the window, we need to establish a relationship between the height of the door and the height of the window. We are given that the door is 27 inches tall and that the height of the door is three times the height of the window.
Let's denote the height of the window by [tex]\( h \)[/tex].
The problem states that the height of the door (which is 27 inches) is three times the height of the window. Thus, we can express this relationship with the equation:
[tex]\[ 27 = 3 \cdot h \][/tex]
Hence, the correct equation is:
[tex]\[ 27 = 3h \][/tex]
To find the height of the window, [tex]\( h \)[/tex], we solve the equation for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{27}{3} \][/tex]
This yields:
[tex]\[ h = 9 \][/tex]
Therefore, the height of the window is 9 inches.
