Answer:
24.56 (parallelogram)
Step-by-step explanation:
4 sides of ABCD: AB, BC, AD, DC
perimeter = AB + BC + AD + DC
distance of two points: √(x-x')²+(y-y')²
AB = √3²+4² = √25 = 5
BC = √7²+2² = √53 = 7.28
AD = √7²+2² = √53 = 7.28
DC = √3²+4² = √25 = 5
P = 5*2 + 7.28*2 = 24.56
ANSWER
![15 {x}^{2} + 22x - 5](https://tex.z-dn.net/?f=15%20%7Bx%7D%5E%7B2%7D%20%2B%2022x%20-%205)
EXPLANATION
It was given that, the length of the rectangular building is
![(3x + 5) \: meters](https://tex.z-dn.net/?f=%283x%20%2B%205%29%20%5C%3A%20meters)
and the width of the is
![(5x - 1) \: meters](https://tex.z-dn.net/?f=%285x%20-%201%29%20%5C%3A%20meters)
The area of a rectangular building is calculated using the formula for finding the area of a rectangle.
![A = l \times w](https://tex.z-dn.net/?f=A%20%3D%20l%20%5Ctimes%20w)
Since the dimensions are given in terms of x, the area is also a function of x,
![A(x) = (3x +5 )(5x - 1)](https://tex.z-dn.net/?f=A%28x%29%20%3D%20%283x%20%2B5%20%29%285x%20-%201%29)
We expand to get,
![A(x) = 3x(5x - 1) + 5(5x - 1)](https://tex.z-dn.net/?f=A%28x%29%20%3D%203x%285x%20-%201%29%20%2B%205%285x%20-%201%29)
![A(x) = 15 {x}^{2} - 3x + 25x - 5](https://tex.z-dn.net/?f=A%28x%29%20%3D%2015%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%2025x%20-%205)
![A(x) = 15 {x}^{2} + 22x - 5](https://tex.z-dn.net/?f=A%28x%29%20%3D%2015%20%7Bx%7D%5E%7B2%7D%20%2B%2022x%20-%205)
meters square
Total cost equals the yearly fee price plus $14 times number of hours.
T= total cost
n= number of hours
Equation:
T= $199 + $14n
Hope this helps! :)
The correct scale factor is 3 :)
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X:7.74870453
G:7.87334975