The area of the garden is the amount of space on the garden.
- The area of the total garden is (x + 15)(x + 20)
- The width of the pathway is 1 meter
<h3>The expression of the area</h3>
The dimensions of the garden is given as:
15 meters by 20 meters
Let the width of the pedestrian pathway be x.
So, the area of the total garden is:
![Area=(x + 15)(x + 20)](https://tex.z-dn.net/?f=Area%3D%28x%20%2B%2015%29%28x%20%2B%2020%29)
<h3>The width of the pathway</h3>
In (a), we have:
![Area=(x + 15)(x + 20)](https://tex.z-dn.net/?f=Area%3D%28x%20%2B%2015%29%28x%20%2B%2020%29)
The total area is given as: 336.
So, we have:
![(x + 15)(x + 20) = 336](https://tex.z-dn.net/?f=%28x%20%2B%2015%29%28x%20%2B%2020%29%20%3D%20336)
Expand
![x^2 + 35x + 300 = 336](https://tex.z-dn.net/?f=x%5E2%20%2B%2035x%20%2B%20300%20%3D%20336)
Collect like terms
![x^2 + 35x + 300 - 336 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2035x%20%2B%20300%20-%20336%20%3D%200)
Evaluate
![x^2 + 35x - 36 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2035x%20-%2036%20%3D%200)
Expand
![x^2 + 36x -x - 36 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2036x%20-x%20-%2036%20%3D%200)
Factorize
![x(x + 36) -1(x +36) = 0](https://tex.z-dn.net/?f=x%28x%20%2B%2036%29%20-1%28x%20%2B36%29%20%3D%200)
Factor out x + 36
![(x + 36)(x -1) = 0](https://tex.z-dn.net/?f=%28x%20%2B%2036%29%28x%20-1%29%20%3D%200)
Solve for x
x = -36 or x =1
The width cannot be negative.
Hence, the width of the pathway is 1 meter
Read more about areas at:
brainly.com/question/24487155
Answer:
c
Step-by-step explanation:
ON=MN, so triangle onm is a right isosclese triangle, so ON=NM=4 square root 2
Circumference = pi * diameter = 12pi ft or 37.7 ft
Answer:
An argument can be broken down into three major components: premises, inferences, and a conclusion. Premises are statements of (assumed) fact which are supposed to set forth the reasons and/or evidence for believing a claim. The claim, in turn, is the conclusion: what you finish with at the end of an argument.
Answer:
C
Step-by-step explanation:
we equate the two equations