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Vilka [71]
3 years ago
11

Calcute the area and height of the trapezoid.​

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

the height is equals to 3cm

the area is 18

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

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Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

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To optimize we can derive the function and equal to zero.

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The minimum perimiter happens when both sides are of size 16 (a square).

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