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Find the lateral area of each prism. Round to the nearest tenth if necessary.


The dimension labeled 11 is the height of the prism.

Question 4 options:

334 units2

264 units2

299 units2

312 units2

Find the lateral area of each prism Round to the nearest tenth if necessary The dimension labeled 11 is the height of the prism Question 4 options 334 units2 26 class=

Respuesta :

Answer:

264 unit^2.

Step-by-step explanation:

The lateral area  is the sum of the 2 sides of area 5*11 and the 2 sides of area 7^11.

That would be 2 * 5 * 11 + 2*7*11

=  264 unit^2.

carlosego

For this case we have that by definition, the lateral area of a prism is given by:

[tex]LA = 2ac + 2bc[/tex]

Where:

a: It is the height

b: It is the width

c: It's the long

According to the figure we have:

[tex]a = 5 \ units\\b = 7 \ units\\c = 11 \ units[/tex]

Substituting:

[tex]LA = 2 * 5 * 11 + 2 * 7 * 11\\LA = 110 + 154\\LA = 264[/tex]

Finally, the lateral area of the prism is [tex]264 \ units ^ 2[/tex]

ANswer:

Option B