Question

Monica has a 24-inch square frame. There are 4 equal sides. She paints 3/4 of one side of the frame blue. What fraction of the frame did Monica paint blue?

Answer 1

She painted 3/16 of the frame.

Answer 2

Monica painted
`(3)/(16)` of the frame blue.

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 :
`(3)/(4)*6 =4.5` and in fraction it is
`(9)/(2)`

This is part of 24 inches.

So, the fraction will be :
`((9)/(2) )/(24)`

=
`(9)/(2) *(1)/(24)` = 3/16

Hence, Monica painted
`(3)/(16)` of the frame blue.