# 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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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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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.

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2. 👎
3. ℹ️
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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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