Question

lesson 1 | session 5
2 nautical flags are used to communicate on
ships. kimani uses the scale drawing at the
right to sew a nautical z flag. the scale from
his flag to the drawing is 20:1. each color is
\\( \frac { 1 } { 4 } \\) of the flag. how many square inches of
ach color of fabric does kimani need?
show your work.
\\( \frac { f i a s } { d r u r i n g } = \frac { 2 0 } { 1 } = \frac { x } { } \quad a = 1 \times w \\)

Explanation:

Step1: Calculate the side length of the actual flag

The side length of the flag in the drawing is \(1\frac{1}{2}=\frac{3}{2}\) inches.
Since the scale is \(20:1\), the side length of the actual flag \(s = \frac{3}{2}\times20= 30\) inches.

Step2: Calculate the area of the actual flag

The flag is a square. The area formula of a square is \(A = s^{2}\).
Substitute \(s = 30\) into the formula, we get \(A=30^{2}=900\) square inches.

Step3: Calculate the area of each - color fabric

Each color is \(\frac{1}{4}\) of the flag.
So the area of each - color fabric \(a=\frac{1}{4}\times900 = 225\) square inches.

Answer:

Kimani needs \(225\) square inches of each color of fabric.