The dimensions of a rectangular quilt are 712 yards by 512 yards. The quilt is made of square tiles with side lengths of 12 yard. How many tiles are in the quilt?
Answers
Answer:
For simpler understanding, consider quilt as land and yards as units.
Therefore, a rectangular land is of 712 units × 512 units. It is covered by square tiles of length 12 units. We are required to calculate the number of tiles used.
Step 1: Calculate the area of the rectangular quilt
→ Area of rectangle = length × breadth
→ Area of quilt = 712 yd × 512 yd
→ Area of quilt = 3,64,544 yd²
Step 2: Calculate the area of 1 square tile
→ Area of square = side × side
→ Area of square = 12 yd × 12 yd
→ Area of square = 144 yd²
Step 3: Divide Total Quilt area by 1 square tile area
→ No. of tiles = Total Area / Area of 1 tile
→ No. of tiles = 3,64,544 yd² / 144 yd²
→ No. of tiles = 2531.5
Hence the number of tiles present in the quilt is 2531.5
The dimensions of a rectangular quilt are 712 yards by 512 yards. The quilt is made of square tiles with side lengths of 12 yard. How many tiles are in the quilt?
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