Answer:
I. 336 ft²
Step-by-step explanation:
We have
two right triangle with legs 6ft and 8ft
one rectangle 8ft × 12ft
one rectangle 6ft × 12ft
one rectangle 10ft × 12ft
The formula of an area of a right triangle:
[tex]A=\dfrac{ab}{2}[/tex]
a,b - legs
Substitute:
[tex]A_1=\dfrac{(6)(8)}{2}=(3)(8)=24\ ft^2[/tex]
The formula of an area of a rectangle:
[tex]A=lw[/tex]
l,w - length, width (dimensions of rectangle)
Substitute:
[tex]A_2=(6)(12)=72\ ft^2\\\\A_3=(8)(12)=96\ ft^2\\\\A_4=(10)(12)=120\ ft^2[/tex]
The Surface Area:
[tex]S.A.=2A_1+A_2+A_3+A_4\\\\S.A.=(2)(24)+72+96+120=336\ ft^2[/tex]
