As per the area of a rectangle, the total area of carpet Katie will need is 194 square feet.
What is the area of a rectangle?
The area of a rectangle is the product of the length and the width of that rectangle.
Here, we need to find the area of the living room that Katie is going to carpet.
We can divide the below mentioned area into two rectangles in order to calculate the total area of the living room easily.
As per the diagram, AB = 10 feet, BC = 11 feet.
Therefore, the area of the rectangle ABCD is
= AB × BC square feet
= 10 × 11 square feet
= 110 square feet
Again, for the EFGC rectangle,
EF = 6 feet, FG = 14 feet
Therefore, the area of the EFGC rectangle is
= EF × GC square feet
= 6 × 14 square feet
= 84 square feet
Therefore, the total area of the living room is
= (Area of ABCD rectangle + area of EFGC rectangle)
= (110 + 84) square feet
= 194 square feet
Learn more about the area of a rectangle here: https://brainly.com/question/20693059
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