AIR MATH

Math Question

A painter is painting a wall with an area of \( 150 \mathrm{ft}^{2} \). 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?
\( 112.50 \mathrm{ft}^{2} \)
\( 145.31 \mathrm{ft}^{2} \)
\( 147.66 \mathrm{ft}^{2} \)
\( 290.63 \mathrm{ft}^{2} \)

Solution

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