A city is adding a brick border around the community garden. The garden has the dimensions of x ft by x ft. The dimension of the brick border are x + 12 ft by x + 12 ft. What is the area of the brick border

Respuesta :

Answer:

The area of the brick border is [tex](24x+144)\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of the brick border is equal to

[tex]A=(x+12)(x+12)-(x)(x)\\ \\A=(x+12)^{2} -x^{2}\\ \\A=x^{2}+24x+144-x^{2}\\ \\A=(24x+144)\ ft^{2}[/tex]