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?

inches

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

inches

Right answers are:

a. 72
b.21.3
^-^

h/w = 12/27 = 4/9

9h = 4w
if h= 32, 9*32 = 4w
w = 9*32/4 = ...

if w = 48 , 9h = 4*48
h = 4*48/9 = ....

wait nvm im dumb thx

To find the width of the school flag, we can use the height-to-width ratio given. The formula for calculating the width is:

Width = (Height / height ratio) * width ratio

First, substitute the values into the formula. The height ratio is 12 and the width ratio is 27. The height is given as 32 inches.

Width = (32 / 12) * 27

Simplify the calculation:

Width = 2.6667 * 27

Width = 72 inches

Therefore, the width of the school flag is 72 inches.

To find the height of the school flag, we can use another ratio calculation. The formula is:

Height = (Width / width ratio) * height ratio

Substitute the values into the formula. The width ratio is 27 and the height ratio is 12. The width is given as 48 inches.

Height = (48 / 27) * 12

Simplify the calculation:

Height = 1.7778 * 12

Height = 21.3 inches (rounded to the nearest tenth)

Therefore, the height of the school flag is approximately 21.3 inches.