The area of the rectangle that has a perimeter of 44 in is calculated as: 117 in².
<h3>What is the Area and Perimeter of a Rectangle?</h3>
Area = length × width
Perimeter = 2(length + width).
Given the following:
- Width = w in.
- Length = w + 4 in
- Perimeter of the rectangle = 44 in.
Therefore:
2(w + 4 + w) = 44
Solve for w
2(2w + 4) = 44
4w + 8 = 44
4w = 44 - 8
4w = 36
w = 9
Width of the rectangle = w = 9 in.
Length = w + 4 = 9 + 4 = 13 in.
Area of the rectangle = 13 × 9 = 117 in².
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20 will be the answer when x=4
Answer:
Step-by-step explanation:
The given numbers are
We need to find the sum of the two largest numbers in the list.
The values of each number are
Using these we can say that
It means two largest numbers in the list are 
.
The sum of these two number is
Therefore, the sum of the two largest numbers in the list is .
Answer:
The gas bill increases by $50
Step-by-step explanation:
We know that the increase in gas bills is directly proportional to the temperature setting. Let's take the increase in gas bills as g and increase in temperature setting as t. Thus, this can be written as:
g ∝ t
In every proportionality, there is a constant k, so it will be:
g = kt
It is mentioned that when the temperature setting increases by 4, the gas bill increases by $20, so in terms of the constant, we can write it as:
20 = k 4
We don't know the value of the constant, so we have to first find it out.
k = 20 ÷ 4
k = 5
Thus,
g = 5t
Now that we know the value of the constant, we can find by how much the gas bill will increase if the temperature setting increases by 10.
g = 5 × 10
g = <u>50</u>
∴ the gas bill increases by $50 when the temperature setting increases by 10 degrees Fahrenheit.
