The length of a side of a square is 4x-1 express the area of the square in terms of x

Question

The length of a side of a square is 4x-1 express the area of the square in terms of x

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Elliana 1 month 2021-09-24T06:28:54+00:00 1 Answer 0

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    2021-09-24T06:30:06+00:00

    The area of the square in terms of x is 16x² – 8x + 1

    Step-by-step explanation:

    The formula of the area of a square is A = L², where L is the

    length of its side

    ∵ The length of a side of a square is 4x – 1

    ∴ L = (4x – 1)

    ∵ The area of the square is A = L²

    ∴ A = (4x – 1)²

    To solve bracket power 2

    • Find (1st term)²
    • Find (1st term × 2nd term × 2)
    • Find (2nd term)²
    • Add all the answers

    The first term is 4x and the second term is -1

    ∵ (4x)² = 16x²

    ∵ (4x)(-1)(2) = -8x

    ∵ (-1)² = 1

    ∴ (4x -1)² = 16x² + -8x + 1

    ∴ (4x -1)² = 16x² – 8x + 1

    ∴ A = 16x² – 8x + 1

    The area of the square in terms of x is 16x² – 8x + 1

    Learn more:

    You can learn more about the area of figures in brainly.com/question/4599754

    #LearnwithBrainly

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