Question

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?

Answer 1

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.