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
Lilit [14]
3 years ago
15

Perimeter and area for these 2 please! Give explanation! BIG POINTS

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer: For the figure on the left {c}, the Area is 30m (squared) and the Perimeter is 46m.

For the figure on the right {d}, the Area is 32cm (squared) and the Perimeter is 34cm

Step-by-step explanation: (Please refers to the attached diagram)

We shall start with the diagram on the left. The first thing is to break it down into regular shapes, such as rectangles, squares, etc. The dotted line that runs from point C to point G divides the figure into two rectangles which are ABCG {or X} and GDEF {or Y}. Line AG measures 10m since it’s the same length as line BC. Similarly line GF measures 2m since it’s the same length as line DE. So rectangle “X” has dimensions;

L = 10, W = 1

Area of a rectangle = L x W

Area = 10 x 1

Area = 10m

Similarly rectangle Y has dimensions L= 10m and W = 2m

Hence area of rectangle “Y” is computed as

Area = L x W

Area = 10 x 2

Area = 20m

Area of the entire figure is derived as

Area of rectangle X + Area of rectangle Y, which is

10m + 20m = 30m {squared)

The perimeter of rectangle X is given as Perimeter = 2(L + W)

Perimeter = 2(10 + 1)

Perimeter = 2(11)

Perimeter = 22m

Also, perimeter of rectangle Y is derived as

Perimeter = 2(L + W)

Perimeter = 2(10+ 2)

Perimeter = 2(12)

Perimeter = 24m

Therefore the perimeter of the entire figure is derived as

Perimeter of rectangle X + perimeter of rectangle Y, which is

22m + 24m and that equals 46m

For the second figure on the right side of the page, we shall also break it down with the dotted lines that runs from point E to point G. That leaves us with rectangle ABGF {or P} and rectangle EGCD {or Q}.

Rectangle “P” has dimensions L= 4 and W = 2

Area of rectangle P = 4 x 2

Area of rectangle P = 8cm

Similarly area of rectangle Q is given as Area of Q = 8 x 3

Area of Q = 24cm

Area of the entire figure is derived as

Area of P + Area of Q,

8cm + 24cm

= 32cm {squared}

To compute the perimeter of rectangle P

Perimeter of a rectangle = 2(L + W)

Perimeter of rectangle P = 2(4 + 2)

Perimeter of rectangle P = 2(6)

Perimeter of rectangle P= 12cm

Similarly Perimeter of rectangle Q = 2(L + W)

Perimeter of rectangle Q = 2(8 + 3)

Perimeter of rectangle Q = 2(11)

Perimeter of rectangle Q = 22cm

Hence, perimeter of the entire figure is derived as perimeter of rectangle P + perimeter of rectangle Q which equals

12cm + 22cm and that equals

34cm.

You might be interested in
Which table shows a proportional relationship between x and y?
swat32

Answer: C

Step-by-step explanation:A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

These fractions are not equal. This is not proportional.

x 2 3 4 5

y 7 9 11 13

These fractions are not equal. This is not proportional.

x 3 7.5 15 20

y 1 2.5 4 6

These fractions are not equal. This is not proportional.

x 3 6 8 10

y 12 15 18 20  HOPE IT HELPS:P

<h2>SO C</h2>
8 0
3 years ago
Answer for this one please
Andrej [43]
Y-12=28
Y=40 here you go
6 0
3 years ago
At what rate percent will the interest on Rs. 6300 in 10 years be equal to its principal?​
grin007 [14]

Answer:

  1. the answer is 10÷6300×100=0,16%
6 0
3 years ago
PLEASE HELP ME!!! 20 POINTS!!!
sukhopar [10]

Hello.

The answer is <em>D. It is reviewed and amended.  </em>The reason why is because the State Constitution(s) are usually longer than the regular Constitution, which has roughly 4,000 words. State Constitutions are normally 8,500 words or longer. So it takes a long time to amend because they are longer.

7 0
3 years ago
Express the complex number in trigonometric form.<br> -6 + 6 sqrt3 i
11Alexandr11 [23.1K]

Answer:

The trigonometric form of the complex number is 12(cos 120° + i sin 120°)

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = -6 + i 6√3

∴ a = -6 and b = 6√3

∵ r² = a² + b²

∴ r² = (-6)² + (6√3)² = 36 + 108 = 144

∴ r = √144 = 12

∵ tan Ф° = b/a

∴ tan Ф = 6√3/-6 = -√3

∵ The x-coordinate of the point is negative

∵ The y-coordinate of the point is positive

∴ The point lies on the 2nd quadrant

* The measure of the angle in the 2nd quadrant is 180 - α, where

  α is an acute angle

∵ tan α = √3

∴ α = tan^-1 √3 = 60°

∴ Ф = 180° - 60° = 120°

∴ z = 12(cos 120° + i sin 120°)

* The trigonometric form of the complex number is

  12(cos 120° + i sin 120°)

 

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help I'm stuck ?
    11·2 answers
  • Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,
    12·1 answer
  • (a + b)(a 2 - ab + b 2)
    14·1 answer
  • Other way to write 9× 200
    6·2 answers
  • -11=a+7 dolce equation
    5·2 answers
  • Jessica checked her gas mileage and found that she had used 17.4 gal of gas to travel 396 mi. At this rate, how many gallons wil
    5·1 answer
  • The debate team participated in 18 debate it won twice as often as it lost how many times did it win
    12·1 answer
  • A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function s(t)=-16t^2+600t+8
    9·1 answer
  • Help fast please
    5·2 answers
  • A man who is 5feet 9inches tall casts a shadow of 8feet 6inches. assuming that the man is perpendicular to the ground,what is th
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!