Question

A blueprint of a rectangular garden has a scale of 1 inch = 4 feet. The blueprint shows the garden as 3 inches wide and 5 inches long. If the actual garden is doubled in size, what will be the new length of the garden?

Answer 1

First, we will determine the actual dimensions of the garden using the given scale. The scale states that 1 inch on the blueprint corresponds to 4 feet in reality.

The garden's dimensions from the blueprint are:
- Width: 3 inches
- Length: 5 inches

Now, we will convert these measurements to actual feet:

1. **Width in feet:**
\( 3 \text{ inches} \times 4 \text{ feet/inch} = 12 \text{ feet} \)

2. **Length in feet:**
\( 5 \text{ inches} \times 4 \text{ feet/inch} = 20 \text{ feet} \)

Next, the problem states that the actual garden is doubled in size. To determine the new dimensions, we will double both the width and the length:

- New Width:
\( 12 \text{ feet} \times 2 = 24 \text{ feet} \)

- New Length:
\( 20 \text{ feet} \times 2 = 40 \text{ feet} \)

The question specifically asks for the new length of the garden after it is doubled in size.

Thus, the new length of the garden is:
\[
\boxed{40} \text{ feet}
\]