<u>ANSWER:
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Division, multiplication, addition is the correct sequence of operations for solving 
<u>SOLUTION:
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Given, equation is 
We need to solve the given equation in correct sequential order.
So, let us follow the BODMAS rule.
BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtraction
Now,

As the term in brackets cannot be processed further we can go for next term.
Now the division operation has to be done first according to BODMAS
- 0.125(x+35)= -7
Multiplication comes second in order.
-0.125x+4.375= -7
On rearranging the terms, we get
-0.125x+4.375+7=0
Now perform addition according to BODMAS
-0.125x+11.375=0
0.125x=11.375

Hence division, multiplication, addition is the correct sequence of operations for solving 
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
WidthAnswer:
Step-by-step explanation: