If an office is 12 feet by 16 feet with 8 foot ceilings and I have 4 feet by 8 feet paneling sheets for the walls, not the ceiling for 4 walls. How many panels do I need?

14 panels

Step-by-step explanation:

Area of four walls is given by 2*(length + width)*height

Given dimension

Length = 16 feet

width = 12 feet

height = 8 feet

Thus, area of four walls of office = 2(16+12)8= 448

dimension of paneling sheets

length = 8 feet

width = 4 feet

area of paneling sheets = 8*4  = 32 sq. feet

Let the number of paneling sheets required by n

thus, total area of n paneling sheets = n*area of paneling sheets  = 32n

This, area of paneling sheets (32n) should be same as 448 area of four walls

as given " I have 4 feet by 8 feet paneling sheets for the walls"

thus,

32n = 448

n = 448/32 = 14

Thus, 14 panels are needed.