Question

What is the surface area of the figure?

Answer 1

Surface area = 458 square ft

Explanation:

From the figure attached with this answer we can see figure.

To find the surface area of the figure

Surface area is sum of area of small rectangles

Surface area = 2(12 * 7 ) + 4(5 * 5) + 2(12 * 5) + 2(7 * 5)

= 2*84 + 4*25 + 2 *60 + 2*35

= 168 + 100 + 120 + 70

= 458

Therefore surface area of given figure = 458 square ft

Answer 2

The surface area of the figure is
`SA=458\ ft^(2)`

Explanation:

we know that

The surface area of the figure is equal to

`SA=2B+PH`

where

B is the area of the L-shaped cross section

P is the perimeter of L-shaped cross section

H is the width of the figure

Find the area of the L-shaped cross section

`B=12*7+5*5=109\ ft^(2)`

Find the perimeter P of L-shaped cross section

`P=(12+7+7+5+5+12)=48\ ft`

`H=5\ ft`

substitute

`SA=2(109)+(48)(5)=458\ ft^(2)`