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Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden. She Only Needs To Fence In 3 Sides Because The Other Side Is Alongside Her House.

(a) Write an Expression For y In Terms of x

(b) Write an Expression For The Area ( A ) Of The Garden , In Terms of x

(c) If x is 10m, find the area of the garden.

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Josh
3 answers

  1. well, I do not know which is x and which is y so I will call them w and L

    50 = 2 w + L
    so L = 50 - 2 w
    or
    w = (50-L)/2

    A = w L = [(50-L)/2]L = 25 L - L^2/2
    or
    A = (50 - 2w)w = 50 w - 2 w^2

    since I do not know which is x, I can not help with c

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    Damon

  2. Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden. She Only Needs To Fence In 3 Sides Because The Other Side Is Alongside Her House.

    y=length
    x=width

    (a) Write an Expression For y In Terms of x

    (b) Write an Expression For The Area ( A ) Of The Garden , In Terms of x

    (c) If x is 10m, find the area of the garden.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Josh

  3. ok so w = x = 10
    A = 50 w -2 w^2 = 50 x - 2 x^2
    = 50(10) - 2(100)
    = 500 - 200
    = 300 m^2

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    Damon

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