Question

write a quadratic function for the area of the figure. then, find the area for the given value of x. x = 15 a(x) = \square (simplify your answer.)

Explanation:

Step1: Identify the figure type

The figure is a square with side length \( x \). The formula for the area of a square is side length squared.

Step2: Write the area function

For a square with side \( x \), the area \( A(x) \) is given by \( A(x)=x\times x = x^{2} \).

Step3: Find the area when \( x = 15 \)

Substitute \( x = 15 \) into the function \( A(x)=x^{2} \). So \( A(15)=15^{2}=225 \).

Answer:

The quadratic function for the area is \( A(x)=x^{2} \), and the area when \( x = 15 \) is \( 225 \).