Question

Please show all work

Answer 1

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:

$A=\dfrac{ab}{2}$

a,b - legs

Substitute:

$A_1=\dfrac{(6)(8)}{2}=(3)(8)=24\ ft^2$

The formula of an area of a rectangle:

$A=lw$

l,w - length, width (dimensions of rectangle)

Substitute:

$A_2=(6)(12)=72\ ft^2\\\\A_3=(8)(12)=96\ ft^2\\\\A_4=(10)(12)=120\ ft^2$

The Surface Area:

$S.A.=2A_1+A_2+A_3+A_4\\\\S.A.=(2)(24)+72+96+120=336\ ft^2$