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?

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.

Step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116