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Area of the parallelogram on 3a + 2b and a + 3b, given the area of the parallelogram on a and b

The same question, asked 2 times: 9 May 2023 S1*, 11 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S1

    142
    If the area of the parallelogram with a⃗\vec{a} and b⃗\vec{b} as two adjacent sides is 15 square units, then the area (in square units) of the parallelogram, having 3a⃗+2b⃗3\vec{a}+2\vec{b} and a⃗+3b⃗\vec{a}+3\vec{b} as two adjacent sides, is

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  2. Question 2

    11 May 2024 S2

    118
    If the area of the parallelogram with a⃗\vec{a} and b⃗\vec{b} as two adjacent sides is 16 sq.units, then the area of the parallelogram having 3a⃗+2b⃗3\vec{a}+2\vec{b} and a⃗+3b⃗\vec{a}+3\vec{b} as two adjacent sides (in sq.units) is

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