What is the lateral surface of the prism shown here If you know the answer pls help I’ll give brainliest

The lateral surface area of the prism shown is 1021 unit^2.

Step-by-step explanation:

2((21*9)/2) + (17*16) + (21*16) + (14*16) = 1021 unit^2

The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases

=ph where p represents the perimeter of the base and h represents the height of the prism.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2