Answer:
Monica painted \(\frac{3}{16}\) of the frame blue.
Step-by-step explanation:
Monica has a 24-inch square frame.There are 4 equal sides. She paints 3/4 of one side of the frame blue.
The perimeter of square is given as = 4s where s is the side length.
Here, perimeter is 24 inches.
So, side will be:
\(4s=24\)
Dividing both sides by 4;
s = 6
So, we get the side of the frame as 6 inches.
Now Monica painted 3/4 of 6 inches.
This value becomes : \(\frac{3}{4}\times6 =4.5\) and in fraction it is \(\frac{9}{2}\)
This is part of 24 inches.
So, the fraction will be : \(\frac{\frac{9}{2} }{24}\)
= \(\frac{9}{2} \times\frac{1}{24}\) = 3/16
Hence, Monica painted \(\frac{3}{16}\) of the frame blue.
