PYQ Vault

Square: convert between side, perimeter, diagonal and area

This type of question, asked 5 times: 10 Sep 2024 S3, 11 Sep 2024 S2, 22 Sep 2025 S1, 23 Sep 2025 S2, 24 Sep 2025 S1. All 6 questions below, oldest first.

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  1. Question 1

    10 Sep 2024 S3

    71
    The area of a square is 16x2+40x+2516x^2 + 40x + 25 square units. Find the perimeter of the square.

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  2. Question 2

    11 Sep 2024 S2

    56
    Find the area of a square, one of whose diagonals is 4.8 m long.

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  3. Question 3

    22 Sep 2025 S1

    58
    A rectangular sheet has an area equal to a square plot. If the sheet measures 72 m in length and 50 m in breadth, and the square plot has an area equal to the sheet, find the perimeter of the square plot.

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  4. Question 4

    23 Sep 2025 S2

    60
    A square field has a diagonal of 98\sqrt{98} m. What is its area?

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  5. Question 5

    23 Sep 2025 S2

    66
    A square has a perimeter of 100 cm. What is the area of the square?

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  6. Question 6

    24 Sep 2025 S1

    58
    A man walks a square plot of area 121 m2121\ \text{m}^2. If he walks once around its boundary, how far does he walk?

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