Answer:
The Area of the trapezoid shaped window is [tex]196in^{2}[/tex]
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
We can see from the picture below that the area of a trapezoid is the following
[tex]A = \frac{a+b}{2} *h[/tex]
Where:
- A is the area
- a is the top base
- b is the bottom base
- h is the height
First we need to find the bottom base value, which we can see from the picture would be the following,
[tex]10+4+4 = b[/tex]
[tex]18 = b[/tex]
Now we can plug all the values into the formula for the Area in order to calculate the final Area of the trapezoid shaped window.
[tex]A = \frac{a+b}{2} *h[/tex]
[tex]A = \frac{10+18}{2} *14[/tex]
[tex]A = \frac{28}{2} *14[/tex]
[tex]A = 14 *14[/tex]
[tex]A = 196in^{2}[/tex]
So the Area of the trapezoid shaped window is [tex]196in^{2}[/tex]
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
