Question

here are some squares and their perimeters.

left side (images of squares):

• first square: side 3 in., perimeter: 12 inches
• second square: side 4.5 in., perimeter: 18 inches
• third square: side x in., perimeter: (blank)

right side questions:

a. write an equation for ( p(x) ) that outputs the perimeter of a square with a side length of ( x ) inches.
( p(x) = ) (input box)

b. what is the value of ( p(5) )?
(input box) (submit button)

Explanation:

Part a

Step1: Recall square perimeter formula

A square has 4 equal sides. The perimeter \( p \) of a square with side length \( x \) is the sum of all 4 sides, so \( p = 4\times x \).

Step2: Define the function \( p(x) \)

Using the formula, the function \( p(x) \) that gives the perimeter is \( p(x) = 4x \).

Step1: Substitute \( x = 5 \) into \( p(x) \)

We know \( p(x) = 4x \), so substitute \( x = 5 \) into the function: \( p(5)=4\times5 \).

Step2: Calculate the result

\( 4\times5 = 20 \).

Answer:

\( p(x) = 4x \)

Part b