Answer:
The area of her front yard is 31.5 ft².
Explanation:
Given:
Maria's front yard is shaped like a trapezoid with the dimension 5ft, 4ft and 7ft.
Now, to find the area of her front yard.
Dimension of front yard:
Base (a) = 5 ft.
Second base (b) = 4 ft.
Height (h) = 7 ft.
So, to getting the area of trapezoid we put formula:
![Area\ of\ trapezoid=(a+b)/(2) h](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c6326xqkhhw263yin948o835tt3kz5hfbz.png)
![Area=(5+4)/(2) * 7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3maq68nomydvqgmbp364l7d8gncv5fojfw.png)
![Area=(9)/(2) * 7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/211rye9hqojvwe0lsb2ogd7cn0cmigvlma.png)
![Area=4.5* 7](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ac0k3vxzclv5ewrs8jty65hyndxwgsqc45.png)
![Area=31.5\ ft^2.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r760u2nyql2ixkxomp39i91iughxu4gb34.png)
Therefore, the area of her front yard is 31.5 ft².