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The ratio of the area of a square to that of the square drawn on its diagonal is?

2:5
3:4
3:5
1:2
Explanation:

$a^2:\left(a\sqrt{2}\right)^2$

$a^2:2a^2 \rightarrow$ 1:2

Additional Questions

The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?

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One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?

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Find the number of square tiles to cover the floor of a room measuring 4 m $\times$ 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?

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The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?

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