Anwer: draw a square with side length equal to the square root of the area of the rectangle.
Explanation:
The rectangle that has the greatest perimeter given a fixed area is the square.
So, take the square root of the area and draw a square with that side length.
The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.
These are the steps:
1) dimensions of the rectangle:
length: l
width: w
perimeter formula: p = 2l + 2w
area formula: A = lw
2) solve l or w from the area formula: l = A / w
3) write the perimeter as a function of w:
p = 2 (A / w) + 2w
4) find the derivative of the perimeter, dp / dw = p'
p' = - 2A / w^2 + 2
5) The condition for optimization is p' = 0
=> -2A / w^2 + 2 = 0
=> 2A / w^2 = 2
=> w^2 = A
Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A
Answer:
LOVE JESUS BEFORE IT IS TOO LATE
Step-by-step explanation:
JESUS LOVES YOU AND CARES ABOUT YOU. HE WANTS YOU TO GO TO HEAVEN WITH HIM.
Answer:
its blurry I cant even see it
Step-by-step explanation:
Standard: 203
Expanded: 200+3
Inequalities help us to compare two unequal expressions. The correct representations of the inequality –3(2x – 5) < 5(2 – x) are A and C.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality can be written as,
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x (It is the third option)
-6x + 5x < 10 - 15
-x < -5
x > 5 (First option)
Hence, the correct representations of the inequality –3(2x – 5) < 5(2 – x) are A and C.
Learn more about Inequality:
brainly.com/question/19491153
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