Question

What is the surface area?

Answer 1

We have:

two congruent triangles wit base b = 6ft and height h = 4ft

two rectangle with length l = 10ft and width w = 5ft

one rectangle with lenght l = 10ft and width w = 6f

The formula of an area of a triangle:

`A_T=(1)/(2)bh`

Substitute:

`A_T=(1)/(2)(6)(4)=(3)(4)=12\ ft^2`

The formula of a rectangle:

`A_R=lw`

Substitute:

`A_(R_1)=(10)(5)=50\ ft^2\\\\A_(R_2)=(10)(6)=60\ ft^2`

The Surface Area:

`SA=2A_(T)+2A_(R_1)+A_(R_2)`

Substitute:

`SA=2(12)+2(50)+60=24+100+60=184\ ft^2`

Answer: The Surface Area is equal 184 ft².