Question

Monica has a 24

24
-inch square frame. There are 4
4
equal sides. She paints 34
3
4
of one side of the frame blue.

What fraction of the frame did Monica paint blue?

Answer 1

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.

Answer 2

The fraction of frame did Monica paint blue is
`(3√(6))/(2)`

Explanation:

Given as :

The area of square frame = A = 24 square inches

Monica paint
`(3)/(4)` 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 =
`√(24)` = 2
`√(6)`

So, Measure of each side = x = 2
`√(6)`

Now, As Monica paint
`(3)/(4)` of one side of the frame blue

So, The painted part =
`(3)/(4)` × 2
`√(6)`

∴ The painted part =
`(3)/(2)` ×
`√(6)`

I,e The fraction of painted blue =
`(3√(6))/(2)`

Hence, The fraction of frame did Monica paint blue is
`(3√(6))/(2)` Answer