The baking sheet shown holds 12 cookies. Each cookie has a diameter of 3 inches. What is the area of the unused part of the baking sheet? Round your answer to the
nearest square inch.

23 in^2

Step-by-step explanation:

We need to find the area of the baking sheet and the area of the 12 cookies. Then we subtract the area of the cookies from the area of the baking sheet.

Baking sheet:

length = 4 cookies = 4 * 3 in. = 12 in.

width = 3 cookies = 3 * 3 in. = 9 in.

area = length * width = 12 in. * 9 in. = 108 in.^2

Cookies:

diameter = 3 in.

radius = diameter/2 = 3 in./2 = 1.5 in.

area of 1 cookie = (pi)r^2

area of 12 cookies = 12(pi)r^2 = 12(3.14159)(1.5 cm)^2 = 84.823 in.^2

area of unused space =

= area of baking sheet  area of 12 cookies

= 108 in.^2 - 84.823 in.^2

= 23.177 in.^2

23 in^2

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