Question

solve.
steve and kim have put in a new tile entryway in their house. the tiles measure 8 × 8 in. and have grout joints \\(\frac{1}{8}\\) in. wide. use the diagram to find the width of the entryway.
\\(\bigcirc\\) 280 in²
\\(\bigcirc\\) \\(40\frac{3}{4}\\) in.
\\(\bigcirc\\) \\(40\frac{1}{2}\\) in.
\\(\bigcirc\\) \\(2308\frac{1}{2}\\) in²

Explanation:

Step1: Count the number of tiles and grout joints in width

There are 5 tiles and 4 grout joints in the width direction.

Step2: Calculate the width of tiles

The width of each tile is 8 in, so the total width of tiles is \(5\times8 = 40\) in.

Step3: Calculate the width of grout joints

The width of each grout joint is \(\frac{1}{8}\) in, so the total width of grout joints is \(4\times\frac{1}{8}=\frac{4}{8}=\frac{1}{2}\) in.

Step4: Calculate the total width of the entryway

Add the width of tiles and grout joints: \(40+\frac{1}{2}=40\frac{1}{2}\) in.

Answer:

\(40\frac{1}{2}\text{ in}\)