A painter is painting a wall with an area of 150 ft squared 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?
Answer
A
145 point 3 1 ft squared
B
112 point 5 0 ft squared
C
147 point 6 6 ft squared
D
290 point 6 3 ft squared
Explanation
Each time the painter works, he paints half of what is still unpainted. After five painting periods, the unpainted area is 150 × (1/2)^5 = 150/32 = 4.6875 ft². So the painted area is 150 − 4.6875 = 145.3125 ft², approximately 145.31 ft². The correct choice is A, 145.31 ft².
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