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
maks197457 [2]
3 years ago
13

Can someone please help me find the area and perimeter

Mathematics
2 answers:
MArishka [77]3 years ago
6 0
Part b:

I'm gonna divide the figure into 3 rectangles.

1st Rectangle;

Length (l) = x

Width (w) = \frac{6-2}{2} =  \frac{4}{2} = 2 

Area (A) = lw = x*2 = 2x

2nd Rectangle;

l = x - 1

w = 2

A = lw = (x - 1)*2 = 2x - 2

3rd rectangle,

l = x

w = \frac{6-2}{2} = \frac{4}{2} = 2 

A = lw = x*2 = 2x

Hence, total area of the figure = 2x + 2x -2 + 2x = 6x -2

Perimeter of the figure = 6 + x + 2 + 1 + 2 + 1 + 2 + x = 2x + 14

Part c:

I'm gonna divide the figure into 2, semi circle and rectangle.

Circle,

Radius (r) = 2

Area = \pi r^{2} = \pi 2^{2} = 4 \pi = 4 * 3.14 = 12.56 

Rectangle,

Length (l) = Diameter = 2 * Radius = 2* 2 = 4

Width (w) = x

Area = lw = 4*x = 4x

Hence, total area of figure = 12.56 + 4x

Perimeter = 4 + x + 0.5*circumference + x = 2x + 4 + [(0.5 *2 \pi r =  \pi r =] 2 \pi ) = 2x + 4 + 2*3.14 = 2x + 4 + 6.28 = 2x + 10.28


AleksAgata [21]3 years ago
6 0
B.
Area:
L•W=area of a rectangle
We can split this shape into three different rectangles. We know that the total width is six, and the mid section of this is two. This means that by default, the width of the other two ends on the "crazy" side are each two.
You now have enough information to begin solving for the area.

2•x
2x units

2•x
2x units

Now, the middle segment is slightly different. It's in one unit less than x, so we should get an equation of:

(x-1)2
2x-2 units

Now we add all the values together

2x+2x+2x-2
2x^3-2 units^2

Perimeter:
2L+2W=perimeter of a rectangle
Now that we have the information of the length and width of each rectangle within the shape, we can solve for the perimeter.

2x+2(2)
2x+4 units

But wait!! We're missing most of one side, the one with the x. This means that instead of the equation I just wrote above, you really should have the one below.

x(x-1)+4
x^2-x+4 units

Since that specific rectangle length and width applies to one of the other rectangles, we won't need to do the math for that one. We just know that it also has a perimeter of x^2-x+4.

Now we just find the perimeter of the middle rectangle.

2(x-1)+2(2)
2x-2+4
2x+2 units

Lastly we add these all together to get the perimeter.


2x+2+x^2-x+4+x^2-x+4
2x^2+8 units

(The 2x, -x, and -x all cancel out)

C.

Area:
πr^2 = area of a circle
Since you have a semicircle, you would put a 1/2 in front of the formula. This will give you the area of the semicircle when you plug in your radius value.
(I am using π to the second decimal)

1/2(3.14)2^2
1/2(3.14)4
6.28 units^2

Now we can find the area of the rectangle. You know that a radius is one half of the diameter, so we can multiply our radius by two to get the length of the rectangle.

2•2
4 units

Next, since we now have the length and width of the rectangle, we multiply them together.

4•x
4x

Lastly, add all the values together to get the total area.

6.28+4x units^2

Perimeter:
2πr = perimeter of a circle
Once again, this is a semicircle, so we have to multiply the formula by one half. Let's plug in our data, too.

[1/2(2)]3.14(2)
1(3.14)2
6.28 units

The perimeter of your semicircle is 6.28.
Now we can find the perimeter of a rectangle.
2L•2W = Perimeter of a rectangle
However, you only have three sides of your rectangle, so this situation would be more like:
1L+2W
Let's plug in our data.

4+2x units

Now the final step is to add the two together.

6.28+4+2x
10.28+2x units
You might be interested in
PLEASE HELPPP!!
olga55 [171]

Answer:

3(8-4x) < 6(x-5)

24-12x < 6x-30

24+30 < 6x+12x

54 < 18x

54\18 < x

3 < x

It means the ans is option no. b

6 0
3 years ago
Read 2 more answers
Rosie washes clothes for two families the first family pays her $500 more per month than the second. Her total earning per month
disa [49]

Answer:

  • Family 1:  $1.850
  • Family 2: $1.350

Step-by-step explanation:

We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:

  • Pa+Pb=3200
  • also, Pa = Pb+500

So if we replace Pa in the first ecuation:

  • Pb+500+Pb=3200
  • 2Pb= 3200-500
  • Pb=2700/2= $1.350

then Pa+Pb=3200 => Pa= 3200-1350= $1.850

Good Luck!

8 0
3 years ago
Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​
Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

8 0
2 years ago
Read 2 more answers
It took Ruby 23 minutes to make meatballs and 29 minutes to make tomato sauce. How much time did it take Ruby to make meatballs
____ [38]

Answer:

52 minutes unless she was multi-tasking then it took her 29 mins to do all

Step-by-step explanation:

52 minutes

6 0
3 years ago
Read 2 more answers
Yvonne was asked to construct a line through P that is perpendicular to the given line segment AB for homework.
Oxana [17]

Answer: C

Step-by-step explanation:

Place the compass on point and mark an arc above AB that goes through P, and a similar arc below AB.

I just did the CYU and this was correct

6 0
3 years ago
Other questions:
  • Look at the drawing of a triangle within a rectangle triangle in the rectangle have the same base and height is the area of a tr
    14·1 answer
  • Anjali rented a bike from Julio's Bikes. It
    9·1 answer
  • Write a polynomial of least degree with rational coefficients and with the root 3-2 square root of 7
    14·1 answer
  • Is this 2/9 I need help
    13·1 answer
  • PLEASE HELP!!!!Ned wrote the following statement:
    6·2 answers
  • A full dose of a different medicine is 600 mg. Ms. Mehta took 75% of a dull dose. How much medicine did she take?
    8·1 answer
  • How many regular hexagons meet at a vertex to form a regular tessellation? 2 3 4 6
    8·2 answers
  • The first three terms of an arithmetic sequence are as follows. - 7, - 3, 1 Find the next two terms of this sequence
    5·1 answer
  • Ellen is filling the pool shown in the figure for her little brother. She can carry
    12·1 answer
  • Choose the correct simplification of the expression −4x2(6x − 5x2 − 5). 20x4 24x3 20x2 −9x4 2x3 − 9x2 20x4 − 24x3 20x2 −20x4 24x
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!