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
Svetradugi [14.3K]
3 years ago
7

In the diagram Shown a 2 foot wide flower border surrounds the heart shaped pond.What is the area of the border?

Mathematics
2 answers:
Dimas [21]3 years ago
8 0
This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares: 

Semi Circle Area Formula: \pi  r^{2} ÷ 2
Square Area Formula: length x width 

Pi = 3.14 
Radius = Half of the diameter, in this case 6 

After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border. 
alukav5142 [94]3 years ago
4 0

Answer:

Area of the border is 142.80 ft²

Step-by-step explanation:

The given figure consist of three figures = 2× semicircles + 1 square.

We will calculate area of the figure including border

Area of one semicircle = (1/2)π×r²= (1/2)×π×(12/2)² = (1/2)π×(6)² = 18π ft²

Area of square = side² = 12² = 144 ft²

Total area = 144 + 18π + 18π = (144 + 36π) ft²

Now we will calculate area without border.

Area of the semicircle = (1/2)π×r² =(1/2)π×[(12-4)/2]²=(1/2)π×(4)² = 8π ft²

area of square = side²= (12-4)²= 8² = 64 ft²

Total area = 64 + 8π + 8π = (64 + 16π) ft²

Now the area of the border = Area with border - Area without border

= (144 + 36π) - (64 + 16π) = 20π + (144 - 64) = 20π + 80

= 20×3.14 + 80 = 142.80 ft²

Area of the border = 142.80 ft²

You might be interested in
The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder,
igor_vitrenko [27]

Answer:

2x

The answer is A.

4 0
2 years ago
Read 2 more answers
What is the value of x?
andrey2020 [161]

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

7 0
3 years ago
Read 2 more answers
Im in love with men and love men in my butt it feels so good
kari74 [83]

Answer:

period

xkkxkxkkxkxkkxksoosooz

5 0
2 years ago
I need help on 1&2 pls
Rus_ich [418]

Answer:

Step-by-step explanation:

1. Slope

2. Hypotenuse

7 0
2 years ago
The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac
kodGreya [7K]

The dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

<u></u>

Step-by-step explanation:

As ,we know

<u>The rectangular cross section is parallel to the front face</u>

Which clearly states that

The dimensions of the rectangular  cross section is congruent with the dimensions of the front face

Lets assume that  dimensions of the front face are 10 centimeters by 18 centimeters

<u>Then ,The dimensions of the cross section will also be  10 centimeters by 18 centimeters</u>

<u></u>

<u>Hence we can say that the</u> dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

4 0
3 years ago
Other questions:
  • What are the answers?
    5·1 answer
  • What is the equation of the quadratic graph with a focus of (1,3) and a directrix of y=1?
    11·1 answer
  • Which sign makes this number sentence true?
    10·2 answers
  • Hi can any one please help me I really need help please help me I need help
    9·1 answer
  • What is the answer to my image?
    14·1 answer
  • How do I solve for <br> Y=x-4<br> 4x+y=26<br> (X,Y)
    7·2 answers
  • How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x
    12·2 answers
  • Please help :). i need to get a 100 on this.​
    14·1 answer
  • Math- find the angle OPR.
    8·2 answers
  • Can some one pls help
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!