What is the lateral area of the rectangular prism? Assume the prism is resting on its base.
2 answers:
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Answer:
Area =
Step-by-step explanation:
Length of the given rectangle 'l' = (15 - )
Width of the given rectangle 'w' =
Area of the rectangle = lw
=
=
=
Therefore, expression that defines the area of the given rectangle will be,
Area =
Answer:
Dimensions:
Perimiter:
Minimum perimeter: [16,16]
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:
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:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).