Chapter 5.8, Problem 3GP

To determine

To prepare: A scale drawing of the garden based on the given scale.

Answer to Problem 3GP

Thescale drawing of the garden is given below.

Explanation of Solution

Given information:

The length of the backyard is 12 feet and the width is 10 feet. The scale is $0.5\text{in}\text{.}=2\text{feet}$ and the grid paper is $\frac{1}{4}\text{in}\text{.}$ .

Calculation:

To draw the scale drawing of the garden, find the length and the width on the drawing divide these by $\frac{1}{4}$ .

Let the length of the scale drawing is $x$ and the width of the scale drawing is $y$ .

Calculate the length of the scale drawing.

  $\begin{array}{c}\frac{0.5\text{in}\text{.}}{2\text{feet}}=\frac{x\text{in}\text{.}}{12\text{feet}}\\ x=\frac{0.5\times 12}{2}\\ =3\text{in}.\end{array}$

Since the size of the square in the grid paper is $\frac{1}{4}\text{in}\text{.}$ . Find the number of squares along the length.

  $\frac{3\text{in}.}{\frac{1}{4}\text{in}\text{.}}=12\text{squares}$

Calculate the width of the scale drawing.

  $\begin{array}{c}\frac{0.5\text{in}\text{.}}{2\text{feet}}=\frac{y\text{in}\text{.}}{10\text{feet}}\\ y=\frac{0.5\times 10}{2}\\ =2.5\text{in}.\end{array}$

Since the size of the square in the grid paper is $\frac{1}{4}\text{in}\text{.}$ . Find the number of squares along the width.

  $\frac{2.5\text{in}.}{\frac{1}{4}\text{in}\text{.}}=10\text{squares}$

Draw the scale drawing of the garden on the grid paper.