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problems 3 - 4: here are the dimensions of the colombian flag. 3. creat…

Question

problems 3 - 4: here are the dimensions of the colombian flag. 3. create a scale drawing of the flag so that the top yellow stripe is 3 centimeters tall. label the dimensions.

Explanation:

Step1: Find the scale factor

The actual height of the top - yellow stripe is 2 ft. First, convert 2 ft to centimeters. Since 1 ft = 30.48 cm, 2 ft = 2×30.48 = 60.96 cm. The new height of the top - yellow stripe is 3 cm. The scale factor $k=\frac{3}{60.96}=\frac{1}{20.32}$.

Step2: Calculate the new dimensions of the other stripes

The actual height of the blue stripe is 1 ft. Converting 1 ft to cm gives 30.48 cm. The new height of the blue stripe in the scale - drawing is $30.48\times\frac{1}{20.32}=1.5$ cm.
The actual height of the red stripe is 1 ft (30.48 cm), and its new height in the scale - drawing is also $30.48\times\frac{1}{20.32}=1.5$ cm.
The actual length of the flag is 6 ft. Converting 6 ft to cm gives 6×30.48 = 182.88 cm. The new length of the flag in the scale - drawing is $182.88\times\frac{1}{20.32}=9$ cm.

Answer:

Draw a rectangle with a length of 9 cm. Divide the rectangle into three horizontal stripes. The top stripe is yellow and 3 cm tall, the middle stripe is blue and 1.5 cm tall, and the bottom stripe is red and 1.5 cm tall. Label the length as 9 cm, the height of the yellow stripe as 3 cm, the height of the blue stripe as 1.5 cm, and the height of the red stripe as 1.5 cm.