A square purple rug has a green square in the center. The side length of the green square is x inches. The width of the purple band that surrounds the green square is 2 in. What is the area of the purple band?
BLANK in^2

Respuesta :

Answer:

A = 4 - x²

Step-by-step explanation:

Both shape are square so their area is their side².

A  = Total_purple_area - Total_green_area

A = (S₁)² - (S₂)²

A = (2)² - (x)²

A = 4 - x²

Ver imagen GrandNecro

The area of the purple band is [tex]A = 4 - x^2[/tex]

The calculation is:

Since both the shape contains the square so here the area square should be applied,

A  = Total purple area - Total green area

[tex]A = (2)^2 - (x)^2\\\\A = 4 - x^2[/tex]

Find out more information about the area here:https://brainly.com/question/1658516?referrer=searchResults