Answer:
SA = 952 ft²
Step-by-step explanation:
We have:
two squares 10ft × 10ft
three rectangles 14ft × 10ft
two rectangles 9ft × 14ft
two triangles with base 10ft and height 8ft
The formula of an area of a reactangle l × w (square s × s) :
[tex]A=lw\qquad(s^2)[/tex]
Substitute:
[tex]A_1=10^2=100\ ft^2\\\\A_2=(14)(10)=140\ ft^2\\\\A_3=(9)(14)=126\ ft^2[/tex]
The formula of an area of a triangle:
[tex]A=\dfrac{(base)(height)}{2}[/tex]
Substitute:
[tex]A_4=\dfrac{(10)(8)}{2}=40\ ft^2[/tex]
The Surface Area:
[tex]SA=2A_1+3A_2+2A_3+2A_4[/tex]
Substitute:
[tex]SA=(2)(100)+(3)(140)+(2)(126)+(2)(40)=952\ ft^2[/tex]
