1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kifflom [539]
2 years ago
11

Afriend gives you a puppy for your birthday and offers to buy fencing for a dog run. What shape gives your puppy more area to ru

n: a
rectangle whose width is twice the length, a regular hexagon, or a square? -
A
rectangle
B. regular hexagon
C. square
Mathematics
1 answer:
HACTEHA [7]2 years ago
3 0

Answer:

B. regular hexagon

Step-by-step explanation:

Let's say he gives you x length of fencing.

Rectangle

The rectangle has length L and width 2L.

The perimeter is L + 2L + L + 2L

L + 2L + L + 2L = x

6L = x

L = x/6

2L = 2x/6 = x/3

The area of the rectangle is

A = length * width

A = x/6 * x/3 = x^2/18

A = 0.0556x^2

For the rectangle, the area is x^2/18.

Square

The length of each side is L.

The perimeter is 4L.

4L = x

L = x/4

The area of the square is

A = side^2

A = (x/4)^2 = x^2/16

A = 0.0625x^2

For the square, the area is x^2/16.

Regular hexagon

The length of fencing is x.

The regular hexagon has 6 congruent sides.

The length of each side is L.

The perimeter is 6L

6L = x

L = x/6

The length of each side is x/6.

A hexagon can be divided into 6 congruent equilateral triangles.

Each triangle can be divided into 2 congruent right triangles by drawing an altitude from the vertex at the center of the triangle to the midpoint of the side of the hexagon. Each right triangle is a 30-60-90 triangle. Half of the side of the hexagon measures x/12. By the ratios of the lengths of sides of a 30-60-90 triangle, the other leg has length x*sqrt(3)/12. The area of the hexagon is 6 times the area of one equilateral triangle.

area = 6 * area of equilateral triangle

area = 6 * bh/2

area = [6 * x/6 * x * sqrt(3)/12]/2

area = x^2*sqrt(3)/24

A = 0.0722x^2

The approximate areas are:

rectangle: 0.0556x^2

square: 0.0625x^2

hexagon: 0.0722x^2

The largest area is that of the regular hexagon.

You might be interested in
Ndicate the answer choice that best completes the statement or answers the question.
kirill115 [55]

Answer:

I think the answer is "adjacent, supplementary".

4 0
2 years ago
Write an expression of: divide B by 6, then subtract 3 from the result do not simplify any part of the expression
IrinaVladis [17]

Answer:(4-6)-h

Step-by-step explanation:

7 0
3 years ago
С
xeze [42]

Answer:

?

Step-by-step explanation:

6 0
2 years ago
Distance between (-3,1) (1,5)
Mamont248 [21]

Answer & Step-by-step explanation:

For this problem, we will use the distance formula.

d=\sqrt{(x2-x1)^2+(y2-y1)^2}

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.

d=\sqrt{(1-(-3))^2+(5-1)^2}

d=\sqrt{4^2+4^2}

d=\sqrt{16 + 16}

d=\sqrt{32}

d=5.657

So, the distance between (-3,1) and (1,5) is 5.657 units.

5 0
2 years ago
Claire has 15 green beads 8 blue beads and 4 yellow beads. If she puts them onto 3 strings equally how many beads are on each st
Katyanochek1 [597]
There are 9 beads on each string
4 0
3 years ago
Read 2 more answers
Other questions:
  • The volume of a cone is 35 ft3 and the cone’s height is 7 ft.
    6·2 answers
  • Sandra wants 1/6 of the fruit in her fruit baskets to be bananas. If the greatest number of fruit that will fit in each basket i
    15·1 answer
  • What is the answer 3x+(x-8)=120
    10·1 answer
  • ❤️❤️help please ASAP
    7·2 answers
  • Plz help!!! Don’t understand
    11·2 answers
  • Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?
    5·1 answer
  • Help me please in my module​
    8·1 answer
  • a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?
    9·1 answer
  • Someone please answer this, ill give you brainliest and your getting 100 points.
    10·1 answer
  • Which comparison is not correct?<br> 8&gt;-9<br> -7 &gt;-9<br> 10-8&lt;-4<br> -2&lt;-9
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!