Questions: Jazlyn also wants to purchase the trampoline shown in this scale drawing. She is not sure if it has enough jumping surface, so she needs to find the area of the actual trampoline. The scale is given in the drawing. First, find the area of the trampoline in the drawing. area in drawing = 40 in^2 Now, find the scale factor from the drawing to the trampoline. scale factor =

Jazlyn also wants to purchase the trampoline shown in this scale drawing. She is not sure if it has enough jumping surface, so she needs to find the area of the actual trampoline. The scale is given in the drawing.
First, find the area of the trampoline in the drawing.
area in drawing = 40 in^2

Now, find the scale factor from the drawing to the trampoline.
scale factor =

Transcript text: Jazlyn also wants to purchase the trampoline shown in this scale drawing. She is not sure if it has enough jumping surface, so she needs to find the area of the actual trampoline. The scale is given in the drawing. First, find the area of the trampoline in the drawing. area in drawing $=40 \quad \mathrm{in}^{2}$ Now, find the scale factor from the drawing to the trampoline. scale factor $=$ $\square$

Solution

Solution Steps

Step 1: Find the area of the trampoline in the drawing.

The drawing of the trampoline is a rectangle. The formula for the area of a rectangle is length times width. The drawing gives the length as $l = 8$ in and the width as $w = 5$ in. Therefore, the area is

Area = $l \times w = 8 \text{ in} \times 5 \text{ in} = 40 \text{ in}^2$.

Step 2: Determine the scale factor for one dimension.

The scale given is 1 in : 2 ft. This means that every 1 inch in the drawing represents 2 feet in the actual trampoline. So the scale factor for one dimension is 2 ft/in.

Step 3: Calculate the scale factor for area.

Since area is a two-dimensional measurement (length times width), we need to square the one-dimensional scale factor to get the area scale factor.

Area scale factor = $(2 \text{ ft/in})^2 = 4 \text{ ft}^2/\text{in}^2$.