Question

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.

Answer 1

we know that

The area of a square is equal to

`A=b^(2)`

The perimeter of a square is equal to

`P=4b`

where

b is the length side of the square

Step 1

Find the length side of the square pillowcase

`A=324\ cm^(2)\\ b^(2)=324\\b=√(324)\ cm\\ b=18\ cm`

Step 2

Find the perimeter of the square pillowcase

`P=4*18`

`P=72\ cm`

Step 3

Find the cost

we know that

the lace is sold for $0.98 for every 2 centimeters

by proportion

`(0.98)/(2)(\$)/(cm) = (x)/(72)(\$)/(cm) \\ \\ 2*x=0.98*72\\ \\x=\$ 35.28`

therefore

the answer is

`\$ 35.28`