Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below.




Including the doors, what is the lateral surface area of the party hall in square feet?



1,904 ft2


1,860 ft2


3,764 ft2


14,280 ft2

Respuesta :

Answer:

The lateral surface area is: 1860 square feet

Step-by-step explanation:

Given

The missing dimension are:

See attachment for storage

[tex]L = 20[/tex] --- Length

[tex]W = 42[/tex] --- Width

[tex]H = 15[/tex] --- Height

Required

The lateral surface area

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 15 * (20 + 42)[/tex]

[tex]Area = 30 * (20 + 42)[/tex]

[tex]Area = 30 * 62[/tex]

[tex]Area = 1860[/tex]