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23 January, 00:44

A square with an area of 4 in² is dilated by a factor of 7. What is the area of the dilated square?

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  1. 23 January, 04:13
    0
    Dilated by a factor of 7 is 196 in²
  2. 23 January, 04:41
    0
    Area of square if the square is s inches long is 4 in²

    s² = a

    s² = 4

    When a square is dilated by a factor of 7, the length of side is also dilated by the factor of 7. For an instance, s₁ represents the dilated side. The equation will be

    s₁ = 7s

    Find the new area, the new area is represented by a₁

    a₁ = s₁²

    Because s₁ is equal to 7s, substitute s₁ with 7s

    a₁ = (7s) ²

    a₁ = 7² s²

    a₁ = 49s²

    The value of s² is 4, substitute s² with 4

    a₁ = 49 (4)

    a₁ = 196

    The new area is 196 in²
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