Pamela made a pillowcase with an area of 324 square centimeters. The pillowcase is square-shaped and looks plain. Pamela decided to add a lace trim around the pillow to make it look better. If the lace is sold for $0.98 for every 2 centimeters, then about how much money will Pamela need to purchase the lace? Please show your work.

Respuesta :

we know that

The area of a square is  equal to

[tex]A=b^{2}[/tex]

The perimeter of a square is equal to

[tex]P=4b[/tex]

where

b is the length side of the square

Step 1

Find the length side of the square pillowcase

[tex]A=324\ cm^{2}\\ b^{2}=324\\b=\sqrt{324}\ cm\\ b=18\ cm[/tex]

Step 2

Find the perimeter of the square pillowcase

[tex]P=4*18[/tex]

[tex]P=72\ cm[/tex]

Step 3

Find the cost

we know that

the lace is sold for $0.98 for every 2 centimeters

by proportion

[tex]\frac{0.98}{2}\frac{\$}{cm} = \frac{x}{72}\frac{\$}{cm} \\ \\ 2*x=0.98*72\\ \\x=\$ 35.28[/tex]

therefore

the answer is

[tex]\$ 35.28[/tex]