Question

You are making a scale drawing of your yard. Your yard is 45 ft by 20 ft. In the drawing the 45 ft dimension is 9 in. What should the length of the 20 ft dimension be in the​ drawing?
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Part 1
The length of the 20 ft dimension should be
  
enter your response here in. in the drawing.

Answer 1

To find the length of the 20 ft dimension in the drawing, we can set up a proportion based on the scale of the drawing.

1. The actual dimensions of the yard are:
- Length = 45 ft
- Width = 20 ft

2. In the drawing, the 45 ft dimension corresponds to 9 inches.

3. We can set up a proportion to find the length of the 20 ft dimension (let's call it \( x \)) in the drawing:

\[
\frac{45 \text{ ft}}{9 \text{ in}} = \frac{20 \text{ ft}}{x \text{ in}}
\]

4. Cross-multiply to solve for \( x \):

\[
45 \text{ ft} \cdot x \text{ in} = 9 \text{ in} \cdot 20 \text{ ft}
\]

5. This can be simplified:

\[
45x = 180
\]

6. Dividing both sides by 45 gives:

\[
x = \frac{180}{45} = 4
\]

So, the length of the 20 ft dimension should be **4 inches** in the drawing.