Question

Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band at a small club. Find the ratio of this number to the rectangle’s area. Choose the appropriate label for this ratio.

Answer 1

The ratio of this number to the rectangle’s area is 9:32.

Explanation:

The information provided are:

• Tom made a square measuring 8 feet by 8 feet.
• He had 18 friends stand inside it as if they are watching a band at a small club.

The area of the square is:

A = (side)²

`=(8\ \text{feet})^(2)\\\\=64\ \text{feet}^(2)`

The number of people standing insider the square is:

n = 18

Compute the ration of n to A as follows:

`n:A=18:64`

`=(18)/(64)\\\\=(9)/(32)\\\\=9:32`

Thus, the ratio of this number to the rectangle’s area is 9:32.