Drawing of the description:
To get the total area, we have to calculate the area of the rectangle and trapezoid, and then add them.
• Area of rectangle
[tex]A_r=b\times h[/tex][tex]A_r=30\times12=360ft^2[/tex]• Area of trapezoid
[tex]A_t=\frac{1}{2}h\cdot(b_1+b_2)[/tex][tex]A_t=\frac{1}{2}\cdot15\cdot(30+15)=\frac{15}{2}\cdot(45)=337.5ft^2[/tex]• Area of the front of the house
Finally, to get the total area we add them:
[tex]A_T=360+337.5=697.5ft^2[/tex]Answer: 697.5 ft²