Final answer:
To find the total number of tiles needed to cover the entire quilt, multiply the dimensions of the quilt to find the area, then divide the area by the area of each individual tile.
Step-by-step explanation:
To find the total number of tiles needed to cover the entire quilt, we first need to find the area of the quilt. The area of a rectangle is equal to the length multiplied by the width. In this case, the length of the quilt is 7/12 yards and the width is 5/12 yards. Multiplying these two fractions gives us an area of (7/12) * (5/12) square yards.
Next, we need to find the area of each individual tile. Since the side length of each tile is 1/2 yard, the area of each tile is equal to the side length squared, which is (1/2)^2 square yards.
Finally, we can divide the total area of the quilt by the area of each tile to find the total number of tiles needed. So the total number of tiles needed is ((7/12) * (5/12)) / ((1/2)^2) tiles.