Respuesta :
Answer:
The fraction of frame did Monica paint blue is [tex]\frac{3\sqrt{6}}{2}[/tex]
Step-by-step explanation:
Given as :
The area of square frame = A = 24 square inches
Monica paint [tex]\frac{3}{4}[/tex] of one side of the frame blue
Let the measure of one side of frame = x
So, From Area of square
Area = side × side
Or, A = x × x
Or, x ² = 24
∴ x = [tex]\sqrt{24}[/tex] = 2[tex]\sqrt{6}[/tex]
So, Measure of each side = x = 2[tex]\sqrt{6}[/tex]
Now, As Monica paint [tex]\frac{3}{4}[/tex] of one side of the frame blue
So, The painted part = [tex]\frac{3}{4}[/tex] × 2[tex]\sqrt{6}[/tex]
∴ The painted part = [tex]\frac{3}{2}[/tex] × [tex]\sqrt{6}[/tex]
I,e The fraction of painted blue = [tex]\frac{3\sqrt{6}}{2}[/tex]
Hence, The fraction of frame did Monica paint blue is [tex]\frac{3\sqrt{6}}{2}[/tex] Answer
Answer:
3/16
Step-by-step explanation: You see that Monica painted 3/4 of one side painted. There are four sides. You multiply 4 by 4 =16. You dont do anything to the three. You get 3/16.
