Ian drew this example of a five-pointed star. He wants to create a computer program to draw five-pointed stars in general. To do
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Answer:
(a)Area of the bedroom=96 square inches
(b)Area of the living room =144 square inches
(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.
Step-by-step explanation:
The area of the bedroom is 1/6 the area of the entire dollhouse
The area of the living room is 3/2 times the area of the bedroom.
The area of the entire dollhouse is 576 square inches
Let the area of bedroom=b
Let the area of living room=l
(a) The area of the bedroom is 1/6 the area of the entire dollhouse
square inches
(b)The area, in square inches, of the living room
The area of the living room is 3/2 times the area of the bedroom
l= square inches
(c)The total area of the house =576 square inches
Area of the bedroom=96 square inches
Area of the living room =144 square inches
Area of the dollhouse that is not of the bedroom or living room
=576-(96+144)=576-240=336 square inches.
The area of the living room is 3/2 times the area of the bedroom
This is gotten by subtracting the area of the bedroom and living room from the total area of the house.
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times
, which means
- in turn,
, so we have
. This means that
- Finally,
So, substituting this back gives
In general, since you have , each time you compute a new term you multiply by a factor of 5, so if
, you have