Answer: 21,875 sqm
Step-by-step explanation:
Step 1:
Find the gross area of the garden.
Square 150m = 22,500 sqm.
Step 2:
Find the area of the pool.
Square 25m = 625 sqm.
Step 3:
Subtract the area of the pool from the gross area of the garden
to find the net area of the garden.
22,500 - 625 = 21,875 sqm.
Warning:
Do not subtract the side length of the swimming pool from the side length
of the garden before squaring.
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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Answer:
question 1 and 3
Step-by-step explanation:
<h2>D. 50 units</h2>
Hi, I’m Lena and I will be answering your question to the best of my ability. If you have any further questions after my answer, do not hesitate to ask me! ツ
♡ Let’s look at the main important thing(s) that will lead you in the correct path.
♥ The perimeter is the outside, it is <em>around</em> the figure. When you see those inner triangles, do not pay attention to them! They are just there to make your overthink the question.
♡ Let's solve!
♥ To begin, let's take LM. It already gives you half the segment, so all you need to do is double the number. 9*2=18.
♥ Now, let's take a look at NR. They already give you the segment as a whole, so you do not need to worry about it!
♥ Look at SR. You do the same thing as you did to LM, double the number. 8*2=16.
Now, we add all the numbers to get our final answer.
18+16+16=50.
