Question

jazlyn owns an indoor trampoline park. 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 = 12 ft
actual width = 6 ft
what is the actual area of the trampoline?
8 ft² 24 ft² 36 ft² 72 ft²
(image: a rectangle with l = 4 in, w = 2 in, and scale 1 in. : 3 ft)

Explanation:

Part 1: Determine the scale factor

Step1: Understand the scale

The scale is \(1\) in. : \(3\) ft, which means \(1\) inch on the drawing represents \(3\) feet in actual. So the number to multiply each length in the scale drawing by is \(3\).

Part 2: Find actual length and width

Step1: Calculate actual length

The drawing length \(l = 4\) in. Multiply by the scale factor \(3\): \(4\times3 = 12\) ft.

Step2: Calculate actual width

The drawing width \(w = 2\) in. Multiply by the scale factor \(3\): \(2\times3 = 6\) ft.

Part 3: Find the actual area

Step1: Recall the area formula for a rectangle

The area of a rectangle is \(A = \text{length} \times \text{width}\).

Step2: Substitute the actual length and width

We found actual length \(= 12\) ft and actual width \(= 6\) ft. So \(A=12\times6 = 72\) \(ft^{2}\).

Answer:

s:

• Scale factor: \(3\)
• Actual length: \(12\) ft
• Actual width: \(6\) ft
• Actual area: \(72\) \(ft^{2}\) (corresponding to the option \(72\) \(ft^{2}\))