The perimeter of a rectangular pig pen is 310 ft. The length is 15 ft greater than the width. Find the width
1 answer:
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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).
<span>Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?
If we want to get a full understanding of this question we must use the information given.
If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.
</span>
or $40
We can also use $160 and 4 hours
or $40
So the rate per hour is $40
If we want to get a full understanding of this question we must use the information given.
If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.
</span>
or $40
We can also use $160 and 4 hours
or $40
So the rate per hour is $40