10+10+10+10= 40
40+38+40+35+35= 188 total perimeter
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
If signs are different you subtract. So 2.5- -1.25 equals 1.25 and keep the sign of the biggest number
the 2 parallel lines mean that the lines are equal
SO since BD = 18, DC is also 18
Answer:
X = 97.45 - 42
Step-by-step explanation:
If 42 + X = 97.45, X needs to be 97.45 - 42
you can do the same thing with smaller numbers, for example:
5 + X = 7
7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer
so for this question, 97.45- 42 = 55.45 so that's X
you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!
I hope that makes sense
