Chapter 4, Problem 3E

To determine

To find: the length of the tile

Answer to Problem 3E

The length of tile is 12 inches.

Explanation of Solution

Given:

The perimeter of one tile is 38 inches

Length of tile $=6a$ inches

Breadth of tile $=7$ inches

Calculation:

Perimeter of rectangular tile $=2\left(l+b\right)$

Putting the values of land b in the equation of perimeter of rectangular tile,

  $\begin{array}{l}2\left(l+b\right)=38\\ 2\left(6a+7\right)=38\\ 12a+14=38\end{array}$

Making similar terms together,

  $\begin{array}{l}12a=38-14\\ 12a=24\\ a=\frac{24}{12}\\ =2\end{array}$

So, length of tile $=6\left(2\right)$

= 12 inches.

Conclusion:

Hence, the length of tile is 12 inches.