A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed? The si

Question

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.

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Nguyệt Ánh 5 years 2021-08-22T02:11:21+00:00 1 Answers 55 views 0

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  1. thienthi
    1
    2021-08-22T02:13:12+00:00
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    Answer:

    second option : the side length was multiplied by 5.

    Step-by-step explanation:

    a = side length of the original square

    A² = a×a

    (a+5)×(a+5) = a² + 10a + 25

    and that should be equal to a²×25

    a² + 10a + 25 = 25a² ?

    10a + 25 = 24a²

    no, that is not true for all a

    a×5 × a×5 = a²×25 = 25A²

    this is the correct solution, as it is true for all a.

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