A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?
Answers
Answered by
17
Total area to paint: 150 ft^2
After the 1st break he has painted: 150/2 ft^2
After the 2nd break he has painted: 150/2 + 75/2^2
After the 3rd break he has painted: 150/2 + 150/2^2 + 150/2^3
After the 4th break he has painted: 150/2 + 150/2^2 + 150/2^3+150/2^4
After the 5th break he had painted: 150/2 + 150/2^2 + 150/2^3+150/2^4+150/2^5 = 145.3125 ft^2
Answer:
The painter would have 145.3125 ft^2 painted after the fifth break.
Similar questions