Answer:
Cost of new carpet per square foot should be less than or equal to $3.54.
Step-by-step explanation:
Given:
Money have to buy carpet = [tex]\$850[/tex]
dimension of game room is 20 feet by 12 feet
So we can say length l = 20 feet
and width w = 12 feet
let [tex]x[/tex] be the cost per square foot for new carpet.
Assuming game room to be rectangular in shape we will find the area of it.
Area of room = [tex]length \ l \times width \ w = 20 ft\times 12 ft = 240 \ ft^2[/tex]
Total area [tex]\times[/tex] cost per square feet ≤ Total money we have
Hence,
[tex]240 \ ft^2 \times x \leq \$850\\\\x\leq \frac{\$850}{240 \ ft^2}\\\\x\leq \$3.54 \ per \ ft^2[/tex]
Hence Cost of new carpet per square foot should be less than or equal to $3.54.
