Question

The first floor of a house consists of a kitchen And dining room. The areas of the living room ,kitchen, and dining room are in the ratio of 3:2:1. The combined area of all three rooms is 576 square feet.

A. What is the area of the dining room?
B. What is the area of the kitchen?
C. What is the area of the living room?

Answer 1

A: 96 B:192 C:288

Explanation:

3+2+1=6

Divide 576 by 6 to get 1/6, you will get 96.

so 96 is the area of the dining room.

Multiply 2 times 96, since that would be 2/6.

That would be 192.

So 192 would be the area of the kitchen.

Here's a trick: all you need to do is add 96 and 192 now (or multiply 96 by 3), because that is half of the areas, 3/6.

So 96 times 3 is 288.

The living room is 288.

To check our work, we can add 288 by 96 by 192.

We would end up with 576, which was our original number.

So 288:192:96.