Final answer:
Boris's living room floor has an area of 224 square feet, and with the carpet costing $12 per square foot, the total cost to carpet his living room would be $2,688.
Step-by-step explanation:
Boris is planning to buy new carpet for his rectangular living room which measures 16 feet in length and 14 feet in width. To find out how much it will cost to carpet the entire floor, we need to calculate the area of the floor and then multiply it by the cost per square foot.
Step 1: Calculate the area of the floor
The area (A) of a rectangle is found by multiplying the length (L) by the width (W). So for Boris's living room:
A = L × W
A = 16 feet × 14 feet
A = 224 square feet
Step 2: Calculate the total cost
The cost per square foot of the carpet is $12. To find out the total cost (C), multiply the area of the floor by the cost per square foot:
C = Area × Cost per square foot
C = 224 square feet × $12/square foot
C = $2,688
Therefore, the total cost for the carpet will be $2,688.