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A room has 2 sections as shown in the picture below. Which expression uses the Distributive Property to find the total area of the room?

A room has 2 sections as shown in the picture below. Which expression uses the Distributive-example-1

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Answer: The total area of the room is 168 square units.

Explanation:

Since we have given that

Dimensions of first rectangle is given by


Length=14\\\\Breadth=8


Area\\\\=length* breadth\\\\=14* 8

Dimensions of second rectangle is given by


Length=14\\\\Breadth=4


Area\\\\=length* breadth\\\\=14* 4

Now, using the distributive property, which states


a(b+c)=ab+ac

so,


14* 8+14* 4\\\\=14(8+4)\\\\=14* 12\\\\=168\text{ square units }

So, the total area of the room is 168 square units.

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