Sarah wants to install new carpet in her living room. The small square is titles 2yd by 2yd and will not be carpeted. How many square yards of carpet will she need if its 6yd by 4yd?
---------------6yd---------------|
|. |
|. I
______ I 4yd
I I 2yd I
I_2yd_I_______________|
6yd * 4yd = 24 yd^2
To find the area of Sarah's living room that needs to be carpeted, we need to subtract the area of the small square that will not be carpeted from the total area of the room.
The total area of the room is calculated by multiplying the length and width:
Total area = 6 yards x 4 yards = 24 square yards
The area of the small square is 2 yards by 2 yards:
Area of small square = 2 yards x 2 yards = 4 square yards
Therefore, the area that needs to be carpeted is:
Area to be carpeted = Total area - Area of small square
= 24 square yards - 4 square yards
= 20 square yards
So, Sarah will need 20 square yards of carpet to cover her living room.
To find out how many square yards of carpet Sarah will need, we need to calculate the area of her living room excluding the small square.
First, we calculate the area of the living room:
Area of the living room = Length x Width
Area of the living room = 6yd x 4yd
Area of the living room = 24 square yards
Next, we subtract the area of the small square from the total area of the living room:
Area of the small square = Length x Width
Area of the small square = 2yd x 2yd
Area of the small square = 4 square yards
Area of carpet needed = Total area of the living room - Area of the small square
Area of carpet needed = 24 square yards - 4 square yards
Area of carpet needed = 20 square yards
Therefore, Sarah will need 20 square yards of carpet for her living room.