Washington Middle School's school flag has a height: width ratio of 12:27

If the school flag is 32 inches high, what is its width?

If the school flag is 48 inches wide, what is its height to the nearest tenth of an inch?

height / width = 12/27 = 0.4444444444444........

32/w = 0.4444444444444........
so
w = 32 / 0.4444444444444........

h/48 = 0.4444444444444........
h = 48 * 0.4444444444444........

You are welcome.

Thank you

decimals? really?

12/27 = 4/9

To solve this problem, we can use the given height:width ratio.

First, let's find the width when the height is given as 32 inches. We can set up a proportion using the ratio:

height ratio = 12:27
width ratio = ? : x (unknown)

Using the proportion:

32 inches / 12 = x inches / 27

To solve for x, we can cross multiply and then divide:

32 * 27 = 12 * x
x = (32 * 27) / 12
x = 72 inches

Therefore, when the school flag is 32 inches high, its width is 72 inches.

To find the height when the width is given as 48 inches, we can set up a similar proportion:

height ratio = ? : x (unknown)
width ratio = 12:27

Using the proportion:

x inches / 48 = 12 / 27

To solve for x, we can cross multiply and then divide:

x * 27 = 12 * 48
x = (12 * 48) / 27
x ≈ 21.33 inches (rounded to the nearest tenth of an inch)

Therefore, when the school flag is 48 inches wide, its height is approximately 21.33 inches.