Answer: Width of 32 inches high school flag = 72 inches.
Height of 48 inches wide school flag = 21.3 inches
Step-by-step explanation:
Given : Washington Middle school's school flag has a height -width ratio of 12:27. (1)
Let x be the width of 32 inches high school flag.
Then height -width ratio = [tex]\dfrac{32}{h}[/tex] (2)
From (1) and (2) , we have
[tex]\dfrac{32}{x}=\dfrac{12}{27}\\\\\Rightarrow\ x=\dfrac{27\times32}{12}=72 [/tex]
Hence, width of 32 inches high school flag = 72 inches.
Let h be the height of 48 inches wide school flag.
Then height -width ratio = [tex]\dfrac{h}{48}[/tex] (3)
From (1) and (3) , we have
[tex]\dfrac{h}{48}=\dfrac{12}{27}\\\\\Rightarrow\ h=\dfrac{12\times48}{27}=21.3333333333\approx21.3[/tex]
Hence, height of 48 inches wide school flag = 21.3 inches
