Chapter 12, Problem 4PTTS

a.

To determine

To draw:A sketch of two tiles positioned to form a rectangle.

Answer to Problem 4PTTS

A sketch of two tiles positioned to form a rectangle is shown below.

Explanation of Solution

Given:

The figure.

Sketch:

Rectangle 1.

  

Rectangle 2

  

b.

To determine

The number of tiles fit into the space.

Answer to Problem 4PTTS

The number of tiles that fit into the space is 61.

Explanation of Solution

Given:

The rectangular space $28\text{'}\times 18\text{'}=504\text{'}$ .

Calculation:

The rectangular space $28\text{'}\times 18\text{'}=504\text{'}$ .

Since,

  $1\text{'}=2.54cm$

  $\text{Therefore,}$$\text{504'}\times \text{2}\text{.54=1280}\text{.16}c{m}^2$

  $\begin{array}{l}\text{Area of the two rectangles }\\ =15+6\\ =21c{m}^2\end{array}$

Therefore,

The number of tiles that fit into the space is $\frac{\text{1280}\text{.16}c{m}^2}{21c{m}^2}$

  $\begin{array}{l}=60.96\\ \approx 61\end{array}$

Hence, the number of tiles that fit into the space is 61.