PLEASE HURRY!! 20 POINTS
2 answers:
Answer: The required expression of area is 12x.
Step-by-step explanation: Given that a rectangular window has a length of 12 ft and a width of x ft.
We are to find the expression that represents the area of the window.
We know that
if the length and width of a rectangle are represented by l and w, then the area of the rectangle is given by
For the given rectangular window, we have
Therefore, the area of the window is given by
Thus, the required expression of area is 12x.
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Answer:
<em>The shortest side of the fence can have a maximum length of 80 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
Simplifying:
Subtracting 20:
Solving:
The shortest side of the fence can have a maximum length of 80 feet