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The easiest approach to measure an index card using color tiles is to first measure and label a color tile with a ruler. Because the question does not specify if this is allowed we must assume that it is. An index card is flat so there is no practical way to measure the thickness of it using a color tile. Therefore we can only measure either the width, height, or area of the card. To measure the width or height we simply align the edges of the card with the starting edge of the measured tile and use it as a ruler, moving it across the card until it overlaps the card's edge (if necessary.) To measure the area, we must measure the area we simply multiply the length times the width.

To measure an index card using color tiles,

1. Find the area of one card by finding the length and breadth, which will be equal to Length × Breadth, as cards are in the shape of a rectangle.

2. Find area of any of single color tiles , by measuring the length and breadth if it is in the shape of rectangle, area equal to Length × Breadth otherwise if it is in the shape of square use the formula , area of square = (Side)²

Divide Area of one index card by area of single tile.

If it is an integral value, suppose P

Then, number of color tiles = P

If it is not an integral value, round up to nearest integer

which will be number of color tiles used.



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