Answer:
an = 10 – 4(n – 1)
Step-by-step explaination
answer is an = 10 – 4(n – 1)
Answer:
<h3>324 ft²</h3>
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:
![A_{\triangle}=\dfrac{1}{2}bh](https://tex.z-dn.net/?f=A_%7B%5Ctriangle%7D%3D%5Cdfrac%7B1%7D%7B2%7Dbh)
b - base
h - height
The formula of an area of a rectangle:
![A_{\boxed{\ }}=lw](https://tex.z-dn.net/?f=A_%7B%5Cboxed%7B%5C%20%7D%7D%3Dlw)
l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:
![A_\triangle=\dfrac{1}{2}(24)(7)=(12)(7)=84\ ft^2](https://tex.z-dn.net/?f=A_%5Ctriangle%3D%5Cdfrac%7B1%7D%7B2%7D%2824%29%287%29%3D%2812%29%287%29%3D84%5C%20ft%5E2)
![A_{\boxed{\ }}=(24)(10)=240\ ft^2](https://tex.z-dn.net/?f=A_%7B%5Cboxed%7B%5C%20%7D%7D%3D%2824%29%2810%29%3D240%5C%20ft%5E2)
The area of the figure:
![A=A_{\triangle}+A_{\boxed{\ }}](https://tex.z-dn.net/?f=A%3DA_%7B%5Ctriangle%7D%2BA_%7B%5Cboxed%7B%5C%20%7D%7D)
Substitute:
![A=84+240=324\ ft^2](https://tex.z-dn.net/?f=A%3D84%2B240%3D324%5C%20ft%5E2)