Question

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. 2 an image of a book shown on a website is 1.5 inches wide and 3 inches tall on monitor. the actual book is 9 inches wide. a. what scale is being used for the image? b. how tall is the actual book?

Explanation:

Part 2a:

Step1: Define scale ratio

Let the scale be \( \text{image width} : \text{actual width} \). Image width = \( 1.5 \) inches, actual width = \( 9 \) inches.

Step2: Simplify the ratio

Simplify \( 1.5:9 \). Divide both by \( 1.5 \): \( \frac{1.5}{1.5}:\frac{9}{1.5}=1:6 \). So scale is \( 1 \) inch (image) to \( 6 \) inches (actual).

Step1: Set up proportion

Let actual height be \( h \). Since scale is \( 1:6 \) (from 2a), \( \frac{\text{image height}}{\text{actual height}}=\frac{1}{6} \). Image height = \( 3 \) inches. So \( \frac{3}{h}=\frac{1}{6} \).

Step2: Solve for \( h \)

Cross - multiply: \( h = 3\times6 = 18 \) inches.

Answer:

\( 1 \) inch (image) : \( 6 \) inches (actual)

Part 2b: