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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 Property to find the total area of the room class=

Respuesta :

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

Step-by-step explanation:

Since we have given that

Dimensions of first rectangle is given by

[tex]Length=14\\\\Breadth=8[/tex]

[tex]Area\\\\=length\times breadth\\\\=14\times 8[/tex]

Dimensions of second rectangle is given by

[tex]Length=14\\\\Breadth=4[/tex]

[tex]Area\\\\=length\times breadth\\\\=14\times 4[/tex]

Now, using the distributive property, which states

[tex]a(b+c)=ab+ac[/tex]

so,

[tex]14\times 8+14\times 4\\\\=14(8+4)\\\\=14\times 12\\\\=168\text{ square units }[/tex]

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

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