Question

Painting rectangular mural length of 12 ft width of 8 ft made a scale drawing using 2 inches representing 4 ft
What’s perimeter of scale drawing in inces

Answer 1

To create the scale drawing, we first need to determine the dimensions of the mural in inches based on the scale provided (2 inches representing 4 feet).

1. **Calculate the scale down dimensions**:
- Length of the mural in feet: 12 ft
- Width of the mural in feet: 8 ft

Using the scale of 2 inches representing 4 feet:
- For the length:
\[
\text{Scale Length} = \left(\frac{12 \text{ ft}}{4 \text{ ft}}\right) \times 2 \text{ in} = 3 \times 2 \text{ in} = 6 \text{ in}
\]

- For the width:
\[
\text{Scale Width} = \left(\frac{8 \text{ ft}}{4 \text{ ft}}\right) \times 2 \text{ in} = 2 \times 2 \text{ in} = 4 \text{ in}
\]

2. **Calculate the perimeter of the scale drawing**:
The perimeter \( P \) of a rectangle is given by the formula:
\[
P = 2 \times (\text{Length} + \text{Width})
\]

Plugging in our scaled dimensions:
\[
P = 2 \times (6 \text{ in} + 4 \text{ in}) = 2 \times 10 \text{ in} = 20 \text{ in}
\]

Thus, the perimeter of the scale drawing is **20 inches**.