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Answer:
464 $
Step-by-step explanation:
Let x denote the length of the side of the garden which is covered fenced by a shed, and
be the width of the garden.
The perimeter of a rectangle is given by 2(length + width)
i.e.
which gives:
For the area to be maximum, the differentiation of A with respect to x must be equal to 0.
i.e.
Therefore, the maximum area of the garden enclosed is given by
483837473939584939494948338
Answer:
x = 10 units
Explanation:
First, let's consider the smaller triangle.:
It is a right-angled triangle, therefore, we can use the special trig functions.
tan θ = opposite / adjacent
tan 45 = opposite / 5
opposite = 5
Now, for the larger triangle:
It is also a right angled triangle which means that we can use the special trig functions.
sin θ = opposite / hypotenuse
sin (30) = 5 / x
x = 10 units
Hope this helps :)