Question

what are the actual base and height of the trampoline?
actual base = 10 ft
actual height = 12 ft
what is the actual area of the trampoline?
ft²

Explanation:

Step1: Calculate actual base and height

Given the scale \(1\) in. : \(4\) ft.
For the base: The base in the drawing is \(2.5\) in.
Using the scale factor, actual base \(b = 2.5\times4=10\) ft.
For the height: The height in the drawing is \(3\) in.
Using the scale factor, actual height \(h = 3\times4 = 12\) ft.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\).
Substitute \(b = 10\) ft and \(h=12\) ft into the formula:
\(A=\frac{1}{2}\times10\times12\)
First, calculate \(10\times12 = 120\).
Then, \(\frac{1}{2}\times120=60\) \(ft^{2}\).

Answer:

Actual base \( = 10\) ft, Actual height \(=12\) ft, Area \( = 60\) \(ft^{2}\)