Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What is the length and width?
Answers
Answer:
Area of rectangle =
Length of rectangle = 14 m
Width of rectangle = 14 m
Step-by-step explanation:
Given:
Perimeter of rectangle is 56 m
To find: the maximized area of a rectangle and the length and width
Solution:
A function has a point of maxima at
if
Let x, y denotes length and width of the rectangle.
Perimeter of rectangle = 2( length + width )
Also, perimeter of rectangle is equal to 56 m.
So,
Let A denotes area of rectangle.
A = length × width
Differentiate with respect to x
Put
Also,
At x = 14,
So, x = 14 is a point of maxima
So,
Area of rectangle:
Length of rectangle = 14 m
Width of rectangle = 14 m
Related Questions
A.109 B.87C.98D.69
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
Suppose a simple random sample of size nequals64 is obtained from a population with mu equals 88 and sigma equals 8. (a) Describe the sampling distribution of x overbar. (b) What is Upper P (x overbar greater than 89.7 )? (c) What is Upper P (x overbar less than or equals 85.7 )? (d) What is Upper P (87.35 less than x overbar less than 90.5 )?
Which fraction is the greatest (represents the largest quantity) ? a.1/3 b.3/8. c.2/5 d.1/2
Answers
Answer:
6 miles
Step-by-step explanation:
2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.
2:12
1:6
Answers
Answer:
Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).
The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
The two solutions are therefore, x = 3 and x = -2.
I need the answer
Answers
Answer:
the answer is 44
Step-by-step explanation:
Because (3+8) is in paranthesis, you should do this first: 2x2(11)
Now, because there is no sign between the second 2 and the parantheses, this simply means they are multiplied so now you have: 2x2x11
Now, because they all have the same sign, you can just multiply across:
2x2x11 = 44
Answers
Answer:
40
Step-by-step explanation:
5(8) = x
use 5 as bags and use 8 as number of goldfish
then times the 2 number
Answers
Answer:
3 1/4
Step-by-step explanation:
You can do a equation:
133x=432 1/4
Which would give you 3.25 but in fraction form it is 3 1/4
Hope this helped!
Answers
Answer:
14
Step-by-step explanation:
The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.
Answer:
1.1102 * 10^4
Step-by-step explanation:
11102
= 1.1102 * 10^4