Katie is going to carpet her living room floor and drew the diagram shown below. What is the total area of carpet she will need?

Do it step by step

As per the area of a rectangle, the total area of carpet Katie will need is 194 square feet.

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

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