Lesson 1 session 5 2 nautical flags are used to communicate...

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 her flag to the drawing is 20 : 1. Each color is $$ \frac{1}{4} $$ of the flag. How many square inches of each color of fabric does Kimani need? Show your work. $$ 1\frac{1}{2} $$ in SOLUTION

Transcript

00:01 So in this problem, we were told that in 1912, an order by president taft fixed the width and length of u .s.

00:07 Flag in the ratio of 1 to 1 .9.

00:10 So if you notice, i wrote that at the top of the screen.

00:12 So we're being asked if a 100 square foot square feet of cloth are to be used to make a flag, what would the dimensions be? so in other words, the area is 100 feet squared.

00:23 So on the side, i kind of put a little diagram for us, and i put our ratio of our width to our length.

00:29 However, the side lengths of this flag can't just be 1 and 1 .9 because if we were to find the area, it wouldn't equal to 100.

00:38 So we have to use a constant factor.

00:40 So i'm going to use our constant factor of x to represent the length.

00:45 So now the whiff of this flag is 1 times x, and the length of it will be 1 .9x.

00:50 And we know that when we multiply those together, it should equal to 100.

00:54 So we're going to have 100 is equal to 1x times 1 .9x.

01:02 Well, that means we're going to have 100 is equal to 1 .9 x squared.

01:07 And now, to solve this equation, we're going to first divide both sides by 1 .9.

01:14 And now because that won't divide evenly, i like to keep it as is for now until i punch my final answer into the calculator.

01:20 So i'm going to have 100 divided by 1 .9 is equal to x squared.

01:25 So now to solve, i'm going to take the square root of both sides...

Question

Please give Ace some feedback