Question

1 the flag of colombia is a rectangle that is 6 ft long with three horizontal stripes.

• the top stripe is 2 ft tall and is yellow.
• the middle stripe is 1 ft tall and is blue.
• the bottom stripe is also 1 ft tall and is red.

a. create a scale drawing of the colombian flag with a scale of 1 cm to 2 ft.

b. create a scale drawing of the colombian flag with a scale of 2 cm to 1 ft.

Explanation:

Part (a)

Step 1: Find scaled length

Scale: \(1\) cm to \(2\) ft. Length of flag is \(6\) ft.
Scaled length \(=\frac{6}{2}=3\) cm.

Step 2: Find scaled heights of stripes

• Top stripe: \(2\) ft tall. Scaled height \(=\frac{2}{2}=1\) cm.
• Middle stripe: \(1\) ft tall. Scaled height \(=\frac{1}{2}=0.5\) cm.
• Bottom stripe: \(1\) ft tall. Scaled height \(=\frac{1}{2}=0.5\) cm.

Step 3: Draw the flag

Draw a rectangle \(3\) cm long. Divide it into three horizontal stripes: top (yellow, \(1\) cm tall), middle (blue, \(0.5\) cm tall), bottom (red, \(0.5\) cm tall).

Part (b)

Step 1: Find scaled length

Scale: \(2\) cm to \(1\) ft. Length of flag is \(6\) ft.
Scaled length \(=6\times2 = 12\) cm.

Step 2: Find scaled heights of stripes

• Top stripe: \(2\) ft tall. Scaled height \(=2\times2 = 4\) cm.
• Middle stripe: \(1\) ft tall. Scaled height \(=1\times2 = 2\) cm.
• Bottom stripe: \(1\) ft tall. Scaled height \(=1\times2 = 2\) cm.

Step 3: Draw the flag

Draw a rectangle \(12\) cm long. Divide it into three horizontal stripes: top (yellow, \(4\) cm tall), middle (blue, \(2\) cm tall), bottom (red, \(2\) cm tall).

Answer:

s:
a. Draw a 3 cm - long rectangle with stripes: yellow (1 cm), blue (0.5 cm), red (0.5 cm).
b. Draw a 12 cm - long rectangle with stripes: yellow (4 cm), blue (2 cm), red (2 cm).