Carpenter Chalberg is building a new wall in his house. The wall is 8 feet long and 8 feet tall. The wall will be framed with wood and also have studs (vertical supports) at least every 18 inches. The wall has no doors or windows. He is looking to purchase enough 8 foot boards of wood to make the wall’s frame. How many boards will Carpenter Chalberg need?

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  9

Step-by-step explanation:

For studs 16" O.C., Chalberg will need 9: one at the beginning of each of the 16" spaces in the 96" width of the wall, and one at the end. That's a total of 6+1 = 7 studs.

The top and bottom edges of the wall are each 8', so will require 1 more board each.

The total number of boards Chalberg needs is 9.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.