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?

Answer 1

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.