Chad will have new carpet put on the rectangular floors of two rooms in his house one floor is 12 1/2 feet long and the other floor is 15 3/4 feet long each floor has a width of 10 feet what is the total area in square feet of the new carpet?

1 answer

To find the total area of the carpet Chad needs for the two rooms, we can calculate the area of each room separately and then sum those areas.

The area of a rectangle is calculated using the formula:

\[ \text{Area} = \text{length} \times \text{width} \]

Room 1:

  • Length = 12.5 feet
  • Width = 10 feet

\[ \text{Area of Room 1} = 12.5 , \text{ft} \times 10 , \text{ft} = 125 , \text{square feet} \]

Room 2:

  • Length = 15.75 feet (which is \( \frac{63}{4} \) feet or 15.75 feet)
  • Width = 10 feet

\[ \text{Area of Room 2} = 15.75 , \text{ft} \times 10 , \text{ft} = 157.5 , \text{square feet} \]

Total Area:

\[ \text{Total Area} = \text{Area of Room 1} + \text{Area of Room 2} = 125 , \text{sq ft} + 157.5 , \text{sq ft} = 282.5 , \text{square feet} \]

Thus, the total area of the new carpet is \( \boxed{282.5} \) square feet.