Answer:
Width is 25 ft
length is 60 ft
Step-by-step explanation:
Here, we want to calculate the length and width of the garden
From the question, we are told that the length is 10 ft more than twice its width
So if the width is x ft
Length = 2x + 10
Mathematically, the perimeter of a rectangle i s 2(l + b)
So;
2(x + 2x + 10) = 170
2(3x + 10) = 170
3x + 10 = 85
3x = 85-10
3x = 75
x = 75/3
x = 25 ft
length is;
2(25) + 10 = 50 + 10 = 60 ft
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- The equation :
Area = length x width
- Substitute the values in :
Area = (x - 5)(x - 5 + 22)
(Note : the 'x' is for the algebraic expression x in the example above)
- Now you have to simplify the second parenthesis:
Area = (x - 5)(x + 17)
- Now expand :
Area = x^2 + 17x - 5x - 85
- Simplify by collecting like terms :
Area = x^2 + 12x - 85
(Note : x^2 means x squared)
Now you have your answer as:
x^2 + 12x - 85 feet^2
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Answer:
Well I took it"s Reflect the intermediate image. and Multiply the vertices of polygon ABCD by One-half.
Step-by-step explanation:
To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,
Therefore, 500 gallons of 80% antifreeze solution is required.
