how many pieces of 16 lumber are needed for the soleplates and double top plates of a building 40 wide and…

how many pieces of 16 lumber are needed for the soleplates and double top plates of a building 40 wide and 30 long?\no 18\no 27\no 22\no 33

how many pieces of 16 lumber are needed for the soleplates and double top plates of a building 40 wide and 30 long?\no 18\no 27\no 22\no 33

Answer

Explanation:

Step1: Calculate perimeter

The building is rectangular. Perimeter $P = 2\times(40 + 30)=140$ feet.

Step2: Consider soleplates and double - top plates

We have 1 soleplate and 2 top plates, so total linear feet of lumber needed is $3\times140 = 420$ feet.

Step3: Determine number of 16 - foot pieces

Number of pieces $n=\lceil\frac{420}{16}\rceil$. Since $\frac{420}{16}=26.25$, we need to round up to 27 pieces.

Answer:

27