Chapter 6.6, Problem 11E

a.

To determine

To find the scale of the drawing

Answer to Problem 11E

The scale of the drawing is 1.25 cm

Explanation of Solution

Given information:

Given the scale drawing the bed is 2.5 centimeters long

Calculation:

Student’s bed is 2 centimeters long but in the scale drawing the bed is 2.5cm long

  $\begin{array}{l}\Rightarrow 2.5\text{ cm =2m}\\ \Rightarrow \text{1m =}\frac{2.5}{2}\text{cm}\\ \Rightarrow \text{1m =1}\text{.25cm}\end{array}$

b.

To determine

To write the scale from step 1 without units

Answer to Problem 11E

The scale without unit is 1.25:1

Explanation of Solution

Given information:

Given the scale without units

1.25:1 is a scale without units

c.

To determine

To find the dimensions of the student’s actual desk

Answer to Problem 11E

Length =1.2m

Width =0.4m

Explanation of Solution

Given information:

Given the length and width of the student’s desk

Calculation:

Write a proportion using scale

  $\begin{array}{l}\frac{1}{1.25}=\frac{x}{1.5}\\ \Rightarrow x=1.2\text{m}\\ \Rightarrow \text{length =1}\text{.2m}\\ \frac{1}{1.25}=\frac{x}{0.5}\\ \Rightarrow x=0.4\text{m}\\ \Rightarrow \text{width =0}\text{.4m}\end{array}$