Answer: 
Step-by-step explanation:
Given
The surface area of a rectangular prism is 
Width of prism 
Length of prism 
height of prism 
Surface area is given by
![S.A.=2[lw+wh+hl]](https://tex.z-dn.net/?f=S.A.%3D2%5Blw%2Bwh%2Bhl%5D)
Put values
![34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm](https://tex.z-dn.net/?f=34%3D2%5B2%5Ctimes%201%2B1%5Ctimes%20x%2B2x%5D%5C%5C17%3D2%2B3x%5C%5C15%3D3x%5C%5Cx%3D5%5C%20cm)
Now, the volume of Prism is given by
Answer: The base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
The vertex is (-1, 2).
The equation of parabola:
where (h, k) is the vertex
We have h = -1 and k = 2.
Substitute:
