Question

The isosceles triangle is a scale drawing of a flag.

The perimeter of the actual flag is 22 in. Draw
another scale drawing of the flag with a perimeter
of 11 in. What is the scale of your drawing? Explain.

Answer 1

Scale factor =
`(1)/(2)`

Explanation:

Perimeter of the actual flag = 22 in.

Perimeter of the scale drawing of the flag = 11 in.

Since, perimeter of a triangle = Sum of all three sides of the given triangle

Therefore, scale factor of the drawing

=
`\frac{\text{Measure of the side of drawing}}{\text{Measure of the side of actual}}` =
`\frac{\text{Perimeter of drawing}}{\text{Perimeter of actual}}`

=
`(11)/(22)`

=
`(1)/(2)`

Therefore, scale factor of the drawing will be
`(1)/(2)`.

Each side of the scaled triangle will be half of the actual triangle.