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:
7x + 15x= 21x
Step-by-step explanation:
7x + 15x
= (7 + 15)x
= 22x
Answer: 700 yards of fencing (assumed).
Step-by-step explanation:
To be able to calculate the number of yards that Farmer Johnson needs, you will have to know the dimensions of the field.
I will therefore assume certain figures and you can use it as a reference.
Assume that the field is a rectangular field that measures 200 yards in length and 150 yards in breath.
This means that the amount of yards needed will be the perimeter of the yard:
Perimeter = (Length * 2) + (Width * 2)
= (200 * 2) + ( 150 * 2)
= 400 + 300
= 700 yards of fencing.
Hello,
add the -7.9 and the -3.4
-11.3+8.2+2.1
add the two positives
-11.3+10.3
calculate the sum
-1
Answer:2/7 You can solve it with a calculator too