Question

rachel has 2 hexagonally shaped birthday cakes. the smaller of which serves six people.If one length of one side of the larger cake is twice that of the smaller cake, how many people does the larger cake serve?

Answer 1

When dealing with the area of ANY geometric shape the rule is, an increase that doubles one dimension, will equal an increase of 4 in area.

Basically, this is because 2² = 4

So, the larger cake will serve 6 * 4 = 24 people.

Explanation:

Answer 2

12 people

Explanation:

rachel has 2 hexagonally shaped birthday cakes

Let A and B represent the two hexagonally shaped cakes.

the smaller of which serves six people.

Oh!, so Let A represent the Bigger cake; &

B to represent the smaller cake;

SO, B serves ------- 6 people

The question proceeds by stating it that ;

If one length of one side of the larger cake is twice that of the smaller cake

If the smaller cake side B is x

and the larger cake A be 2x

An hexagonally shaped cake is definitely going to have 6 sides

So;

For B

6x = 6

x = 1

Since x =6 , For A

2x = 2(1)

= 2

Therefore, the cake is going to serve 2 × 6 people

= 12 people