10. A classroom has a length of 30 ft . and a width of 20 ft . The flooring is to be replaced by tiles. Each tile has a length of 36 in. and a width of 24 in . How much money will it cost to tile the classroom if each tile is \( \$ 2.34 \) ? HINT: Find the area of the room, then find the area of a tile (remember to make inches into feet) and then divide these two areas. This gives you how many tiles you need....then multiply by \( \$ 2.34 \) to figure out cost.
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To determine the cost of tiling the classroom, first, convert the dimensions of the classroom and tiles into the same unit. The classroom measures 30 ft by 20 ft, giving an area of \( 600 \, \text{sq ft} \) (30 x 20). Each tile is 36 inches by 24 inches; converting these dimensions into feet means each tile is 3 ft by 2 ft, providing an area of \( 6 \, \text{sq ft} \) (3 x 2). Next, divide the area of the classroom by the area of one tile: \( \frac{600}{6} = 100 \) tiles needed. Finally, multiply the number of tiles by the cost per tile: \( 100 \times 2.34 = 234 \). Therefore, the cost to tile the classroom comes to \( \$ 234 \). Now you're ready to impress your friends with your newfound tiling knowledge! Not only did you calculate the cost effectively, but you've also transformed a simple classroom into a stylish and snazzy space! Tiling is not just about aesthetics; it also enhances durability and is a fun DIY challenge that you can tackle with a team. Who knew math could be this rewarding?
