Answer:
152 m²
Step-by-step explanation:
<u>Area of flower garden</u>
Assuming the flower garden is <u>rectangular</u> and its dimensions are measured in <u>meters</u>:
- width of garden = 14 m
- length of garden = 20 m
![\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies \textsf{Area of flower garden} & = \sf 14 \times 20\\& = \sf 280\:\:m^2 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BArea%20of%20a%20rectangle%7D%20%26%20%3D%20%5Csf%20width%20%5Ctimes%20length%5C%5C%5Cimplies%20%5Ctextsf%7BArea%20of%20flower%20garden%7D%20%26%20%3D%20%5Csf%2014%20%5Ctimes%2020%5C%5C%26%20%3D%20%5Csf%20280%5C%3A%5C%3Am%5E2%20%5Cend%7Baligned%7D)
<u>Total area of path and garden</u>
If there is a 2 m wide path <u>all around the garden</u>, the dimensions of the total area will be the dimensions of the garden extended by 4 m:
- width = 14 m + 2 m + 2 m = 18 m
- length = 20 m + 2 m + 2 m = 24 m
![\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies \textsf{Total area} & = \sf 18 \times 24\\& = \sf 432\:\:m^2 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BArea%20of%20a%20rectangle%7D%20%26%20%3D%20%5Csf%20width%20%5Ctimes%20length%5C%5C%5Cimplies%20%5Ctextsf%7BTotal%20area%7D%20%26%20%3D%20%5Csf%2018%20%5Ctimes%2024%5C%5C%26%20%3D%20%5Csf%20432%5C%3A%5C%3Am%5E2%20%5Cend%7Baligned%7D)
<u>Area of path</u>
To calculate the <u>area of the path</u>, subtract the <u>area of the garden</u> from the <u>total area</u>:
![\begin{aligned}\implies \textsf{Area of path} & = \sf Total\:area-Area\:of\:garden\\& = \sf 432-280\\& = \sf 152\:\:m^2 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Ctextsf%7BArea%20of%20path%7D%20%26%20%3D%20%5Csf%20Total%5C%3Aarea-Area%5C%3Aof%5C%3Agarden%5C%5C%26%20%3D%20%5Csf%20432-280%5C%5C%26%20%3D%20%5Csf%20152%5C%3A%5C%3Am%5E2%20%5Cend%7Baligned%7D)
Point.
<h3>Further explanation</h3>
- This is one of the classic problems of Euclidean geometry.
- The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
- We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.
Types of Angles
- The acute angle represents an angle whose measure is greater than 0° and less than 90°.
- The right angle is an angle that measures 90° precisely.
- The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
- The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.
<u>Note:</u>
Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.
These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
- A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
<h3>Learn more
</h3>
- Undefined terms are implemented to define a ray brainly.com/question/1087090
- Definition of the line segment brainly.com/question/909890
- What are three collinear points on a line? brainly.com/question/5795008
Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry
Answer:
28.5
Step-by-step explanation: