Question: Jazlyn also wants to purchase the trampoline shown in this scale drawing. The scale is shown in the drawing.
What number can you multiply each length in the scale drawing by to find the actual length?
What are the actual length and width of the trampoline?
Actual length = ft
Actual width = ? ft
Please enter a number.
w = 5 in.
l = 8 in.
1 in. : 2 ft
1. **State the problem:**
We have a scale drawing of a trampoline with width $w = 5$ inches and length $l = 8$ inches.
The scale is $1$ inch : $2$ feet.
We want to find:
- The number to multiply each length in the scale drawing by to get the actual length.
- The actual length and width of the trampoline.
2. **Identify the scale factor:**
The scale tells us that $1$ inch in the drawing corresponds to $2$ feet in reality.
So, the scale factor is:
$$\text{scale factor} = 2$$
This means to find the actual length, multiply each drawing measurement by $2$.
3. **Calculate the actual width:**
Drawing width $w = 5$ inches.
Actual width $= 5 \times 2 = 10$ feet.
4. **Calculate the actual length:**
Drawing length $l = 8$ inches.
Actual length $= 8 \times 2 = 16$ feet.
5. **Summary:**
- Multiply each length in the scale drawing by $2$ to get the actual length.
- Actual width $= 10$ feet.
- Actual length $= 16$ feet.