Question

a builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps. How many borders are needed to build a fence that is 150 in Long​

Answer 1

Number of boards required is 24

Step-by-step explanation:

A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.

$\texttt{Length of 1 board = }6\frac{1}{4}in\\\\\texttt{Length of 1 board = }\frac{6\times 4+1}{4}=\frac{25}{4}in$

We need to build a fence that is 150 in long​.

Length of fence = Number of boards required x Length of 1 board

$150=\texttt{Number of boards required }\times \frac{25}{4}\\\\\texttt{Number of boards required }=\frac{150\times 4}{25}\\\\\texttt{Number of boards required }=6\times 4=24$

Number of boards required = 24