Answer:
2.8 cm
Step-by-step explanation:
The area of a trapezoid is calculated using the formula:
[tex]A=\frac{(B+b)h}{2}[/tex]
where
B is the length of the major base
b is the length of the minor base
h is the height of the trapezoid
In this problem, the glass window has the shape of a trapezoid. We know that:
B = 2 cm is the length of the top base
b = 4.5 cm is the length of the bottom base
[tex]A=9.1 cm^2[/tex] is the area of the trapezoid
Solving for h, we can find the height of the stained glass window:
[tex]h=\frac{2A}{B+b}=\frac{2(9.1)}{2+4.5}=2.8 cm[/tex]
