Answer:
See the image of the bulletin board in the shape of a square that is included in the question.
And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.
Explanation:
1) Calculate the side length of the bulletin board in the shape of a square:
The area of a square is equal to the square of length of the sides
Substitute A = 150 unit²
Extract square root of both sides:
2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length: [tex]\sqrt{150}[/tex]
- [tex]x<\sqrt{150}/8[/tex]
Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.
Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.
Remember that multiplying by 1/8 is the same that dividing by 8.
Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.
- 12/8 can be simplified to 3/2 and 11/8 is in its simplest form.
Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.
