8. CCSS. Reason Abstractly Tiles are being placed in front of a fireplace to create a trapezoidal hearth. The hearth will have a height of 24 inches and bases that are 48 inches and 60 inches. If the tiles cover 16 square inches, how many tiles will be needed?
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To find the area of the trapezoidal hearth, you can use the formula: Area = 1/2 * (Base1 + Base2) * Height. With Base1 as 48 inches, Base2 as 60 inches, and Height as 24 inches, the area calculates to 1/2 * (48 + 60) * 24 = 1296 square inches. Given that each tile covers 16 square inches, you can find the number of tiles needed by dividing the area of the hearth by the area of one tile: 1296 ÷ 16 = 81 tiles. So, you'll need 81 tiles to cover the entire trapezoidal hearth. Happy tiling!