Question

Create a formula for the area A(x) cm? of a square of side length x cm: A(x) = ________Use the formula to determine the area of squares with side lengths of 3 cm, 10.5 cm, and 3.14 cm.

Answer 1

Answer;

`\begin{gathered} \text{formula; A(x) = x}^2 \\ \text{for 3cm ; A = 9 cm}^2 \\ \text{for 10.5 cm; A = 110.25 cm}^2 \\ \text{for 3.14 cm; A = 9.8596 cm}^2 \end{gathered}`

Expanations;

Mathematically, the area of a square is the product its side lengths. Since a square has all its side equal, then the area is the square of the side length

So, for a square with side x cm, we have the formula for the area as;

`A(x)=x^2`

So, to get the areas with the given side lengths, we have the following;

`\begin{gathered} 1)A(3)=3^2=9cm^2 \\ 2)A(10.5)=10.5^2=110.25cm^2 \\ 3)A(3.14)=3.14^2=9.8596cm^2 \end{gathered}`