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.

Step-by-step explanation:

Since we have given that

Dimensions of first rectangle is given by

$Length=14\\\\Breadth=8$

$Area\\\\=length\times breadth\\\\=14\times 8$

Dimensions of second rectangle is given by

$Length=14\\\\Breadth=4$

$Area\\\\=length\times breadth\\\\=14\times 4$

Now, using the distributive property, which states

$a(b+c)=ab+ac$

so,

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

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