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Arada [10]
3 years ago
10

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

<em>Find the area of the L-shaped cross section</em>

B=12*7+5*5=109\ ft^{2}

<em>Find the perimeter P of L-shaped cross section</em>

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.

<u>To find the surface area of the figure</u>

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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