110k views
4 votes
Boris wants to buy new carpet for his living room floor. The floor is in the shape of a rectangle. Its length is 16 feet and its width is 14 feet. Suppose carpet costs $12 for each square foot. How much will carpet cost for the floor?

User Rashonda
by
8.1k points

2 Answers

5 votes

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.

User Brad Westness
by
8.2k points
4 votes
Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.
User Martin Zeitler
by
7.8k points

No related questions found