Answer
given,
side of rectangle, AB = CD = 32
BC = DA = 24
rectangle is rotated 90° clockwise about C.
then rotated 90° clockwise about D.
Path traveled by the point A for first rotation will be in circle with radius AC.


AC = 40
θ₁ = 90°

D₁ = 1256.64
For the second rotation Point A will move in circular path with radius of AD

AD = 24
θ₁ = 90°

D₂ = 452.39
total path traveled by the point A
D = D₁ + D₂
D = 1256.64 + 452.39
D = 1709.03
Way 1:
a triangle with sides 3,4,5 will make a triangle. because this isn't 3,4,5 triangle it wont work.
way 2:
By using Heron's formula you can find the area of the flower bed.
<span>s=(a+b+c) ÷2
</span><span>Area =√s(s-a)(s-b)(s-c)
</span>so, 3+4+8= 15
15÷2 =7.5
√7.5(7.5-3)(7.5-4)(<span>7.5-8)
</span>Now because 7.5-8 gives you a negative number and you can't have a negative number under a square root unless you want to use an imaginary number, it won't form a triangle.
Answer:
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Step-by-step explanation:
First arrange them according to general equation:

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<u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>s</u><u>e</u><u>c</u><u>o</u><u>n</u><u>d</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u> :

Answer:

Step-by-step explanation:
we know that
The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere
In this problem
The radius of the sphere is 
The diameter of the sphere is two times the radius

so
The length side of the cube is

Remember that
The surface area of a cube is equal to the area of its six faces
so

substitute the value of b

