Question

a = \frac{1}{2}bh. what are the actual base and height of the trampoline? actual base = ft. actual height = ? ft. 1 in.:4 ft

Explanation:

Step1: Use the scale - factor conversion

The scale is 1 in. : 4 ft.
For the base:
The drawn - base is 2.5 in.
Let the actual base be $b$.
We set up the proportion $\frac{1}{4}=\frac{2.5}{b}$.
Cross - multiply: $b = 2.5\times4$.
$b = 10$ ft.

Step2: Use the scale - factor conversion for height

The drawn - height is 3 in.
Let the actual height be $h$.
We set up the proportion $\frac{1}{4}=\frac{3}{h}$.
Cross - multiply: $h=3\times4$.
$h = 12$ ft.

Answer:

Actual base = 10 ft
Actual height = 12 ft