Question

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8in. of the actual side length.

Answer 1

Area:-150sq units

• Side be a

Now

• a²=150
• a=√150
• a=√2×3×5×5
• a=5√6

Now

• Scale factor=1/8

So

new side length:-

• 1/8(5√6)
• 5/8√6

Answer 2

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.

Step-by-step 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

A = x²

Substitute A = 150 unit²

150 = x²

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:

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.

Step-by-step explanation:

hope this helps if does mark brainllest pls! :)