Chapter 6.6, Problem 39E

a.

To determine

To find the actual length of a wall that is 3 inches long in the blueprint

Answer to Problem 39E

The actual length of a wall is 126 units

Explanation of Solution

Given information:

Given the length of a wall which is 3 incheslong

Calculation:

The blueprint has a scale of 1:42

1 inch: 9 feet

  $\begin{array}{l}\frac{1}{42}=\frac{3}{x}\\ \Rightarrow x=126\\ \text{The actual length of a wall is 126 units}\end{array}$

b.

To determine

To find the actual height of the blueprint door which is 2 inches high

Answer to Problem 39E

The actual height of the door is 84 units

Explanation of Solution

Given information:

Given the length of the blueprint door which is 2 inches high

Calculation:

The blueprint has a scale of 1:42

  $\begin{array}{l}\frac{1}{42}=\frac{2}{x}\\ \Rightarrow x=84\\ \text{The Actual height of the door is 84 units}\end{array}$

c.

To determine

To find the actual dimension of the window which is $\frac{1}{2}\text{ inch by }\frac{3}{4}\text{ inch}$

Answer to Problem 39E

The actual dimension of the window is 21 by 31.5

Explanation of Solution

Given information:

Given a rectangle window which is $\frac{1}{2}\text{ inch by }\frac{3}{4}\text{ inch}$

Calculation:

The blueprint has scale of 1:42

  $\begin{array}{l}\frac{1}{2}\text{ inch by }\frac{3}{4}\text{ inch}\\ \Rightarrow \frac{1}{42}=\frac{\frac{1}{2}}{x}\\ \Rightarrow x=\frac{1}{2}\times 42\\ \Rightarrow x=21\\ \text{where as,}\\ \frac{1}{42}=\frac{\frac{3}{4}}{x}\\ \Rightarrow x=\frac{3}{4}\times 42\\ \Rightarrow x=31.5\\ \text{Therefore,}\\ \text{The actual dimension of a window is 21 by 31}\text{.5}\end{array}$