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

Answer:

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

Step-by-step 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:

$n:A=18:64$

        $=\frac{18}{64}\\\\=\frac{9}{32}\\\\=9:32$

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