Question: Jazlyn owns an indoor trampoline park. The scale drawing shows a new trampoline she wants to purchase for her facility. The scale is shown in the drawing.
What number can you multiply each length in the scale drawing by to find the actual length?
3
What are the actual length and width of the trampoline?
Actual length = 12 ft
Actual width = 6 ft
What is the actual area of the trampoline?
8 ft²
24 ft²
36 ft²
72 ft²
Graph/shape: A rectangle in the top-right, with l = 4 in. along the top, w = 2 in. along the left, and scale 1 in. : 3 ft at the bottom-right; the actual dimensions computed from the scale are 12 ft by 6 ft, giving an area of 72 ft².
1. **State the problem:** We have a scale drawing of a trampoline with length $4$ inches and width $2$ inches. The scale is $1$ inch : $3$ feet. We want to find the actual length, width, and area of the trampoline.
2. **Identify the scale factor:** The scale means every $1$ inch in the drawing represents $3$ feet in reality. So, the scale factor to convert drawing lengths to actual lengths is $3$.
3. **Calculate actual dimensions:**
- Actual length $= 4 \text{ in} \times 3 = 12 \text{ ft}$
- Actual width $= 2 \text{ in} \times 3 = 6 \text{ ft}$
4. **Calculate the actual area:**
The area of a rectangle is given by the formula:
$$\text{Area} = \text{length} \times \text{width}$$
Substitute the actual dimensions:
$$\text{Area} = 12 \times 6 = 72 \text{ ft}^2$$
5. **Answer:**
- The number to multiply each length in the scale drawing by is $3$.
- The actual length is $12$ ft.
- The actual width is $6$ ft.
- The actual area is $72$ ft².