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3 years ago

What is the surface area of the figure?

Mathematics

2 answers:

lisov135 [29]3 years ago

7 0

Answer:

The surface area of the figure is $SA=458\ ft^{2}$

Step-by-step 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

$SA=2(109)+(48)(5)=458\ ft^{2}$

Readme [11.4K]3 years ago

4 0

Answer:

Surface area = 458 square ft

Step-by-step 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

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