The area of a surface is the number of square units present in the surface. For a rectangle, it is calculated from the product of the length and the width. To determine the length and width of the lot given above, we first assume that it is in a rectangular shape which is defined by its length and its width. We are given the following:
Area = 4200 square feet
Length = 4x - 20 feet
Width = x feet
From the definition of the area of a rectangle,
Area = length x width
4200 = (4x -20) (x)
4200 = 4x^2 - 20x
4x^2 - 20x - 4200 = 0
4(x^2 - 5x - 1050) = 0
x^2 - 5x -1050 = 0
Factoring the equation would lead to:
(x - 35) (x +30) = 0
x -35 = 0 ; x = 35
x + 30 = 0 ; x = -30
The width should not be a negative value so the width would be equal to 35 feet. So, the length would be
Length = 4(35) - 20 = 120 feet
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:
x = [(-7) + (-3)] / 2 = -5
y = [(-2) + (-5)] / 2 = -3.5
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
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Answer:
11x +40
Step-by-step explanation:
Add 22 and 18 and the result will be as above.
Answer:
6 is the integer which is equivalent to 9 and 3 halves
Step-by-step explanation:
we have to find the integer which is equivalent to 9 and 3 halves
Rule of halves means the restatement of meaning of median. Therefore, we have to find the median of these two integers 9 and 3.
Median of 9 and 3 is 
Hence, 6 is the integer which is equivalent to 9 and 3 halves
