Question

A cat stands on a scale and finds its weight to be 4.0

kilograms. If the weight exerted by all four of its paws on the
scale is 0.25 kilograms per square centimeter, what is the area
of one of its feet in square centimeters?
- cm²​

Answer 1

4 cm²

Step-by-step explanation:

`\begin{array}{rcl}\\P &= &(F)/(A)\\\\\frac{\text{4 kg}}{A} &=& \frac{\text{0.25 kg}}{\text{1 cm}^(2)}\\\\\frac{\text{4 cm}^(2)}{A} &=& 0.25\\\\\text{4 cm}^(2) &= &0.25A\\A & = & \textbf{16 cm}^{\mathbf{2}}\\\end{array}`

This is the total area of the cat's four feet, so the area of one foot is 4 cm².