Question

the community center has a triangular garden. a scale drawing of the garden is shown. the scale is 1 in. : 2 ft. area of triangle = \\( \frac { 1 } { 2 } b h \\) find the actual base and height of the garden. actual base = 2.5 ft actual height = 3 ft height = 6 in. base = 5 in.

Explanation:

Step1: Calculate actual base

Given scale \(1\) in. : \(2\) ft, base on drawing is \(5\) in.
Actual base \(=5\times2 = 10\) ft.

Step2: Calculate actual height

Height on drawing is \(6\) in.
Actual height \(=6\times2=12\) ft.

Answer:

Actual base \( = 10\) ft, Actual height \(=12\) ft.