The remaining side length (L) of the rectangle is approximately 3.335 units.
To find the remaining side length (L) of a rectangle when given the perimeter and three sides of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
In this case, you have three sides, which means you have the sum of two lengths and one width:
3 * Side = 2 * Length + Width
Given that the perimeter is 30 and the three sides sum up to 70:
30 = 2 * Length + Width
We also know that 3 * Side = 70, so each side is equal to 70/3 = 23.33 (approximately).
Now, we can substitute this value for Width into the first equation:
30 = 2 * Length + 23.33
Subtract 23.33 from both sides:
30 - 23.33 = 2 * Length
6.67 = 2 * Length
Divide by 2 to isolate Length:
Length = 6.67 / 2 = 3.335
So, the remaining side length (L) of the rectangle is approximately 3.335 units.
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Opposite sides equals to 7 and so you add 7 + 7 which equals to 14. Next you subtract 30 by 14 to get the total of the opposite side of L and itself which gets you 16 which is then divided by 2 because you have L and its opposite side which would give you 8. So L equals to 8.
Check:
7 + 7 + 8 + 8
14 + 16
30
Answer:
(6,3)
Step-by-step explanation:
x + 3y = 15
4x + 2y = 30
This system of equations can either be solved by elimination method or substitution method or both
We are going to use both method to solve this system of education
First we are gong to use elimination method to find the value of y
x + 3y = 15 -------------(1)
4x + 2y = 30 -----------(2)
Using the elimination method, to eliminate x, we want to make coefficients of x the same, to do that we multiply equation (1) by 4
4x + 12y =60 --------------(3)
subtract equation (2) from equation (3)
(4x-4x =0 12y - 2y = 10y 60 -30=30 )
We will have;
10y = 30
Divide 10 by both-side of the equation
10y/10 = 30/10
y = 3
We will use substitution method to get the value of x,
We will now substitute y=3 in equation (1)
x + 3y = 15
x + 3(3) = 15
x + 9 = 15
Subtract 9 from both-side of the equation
x +9 - 9 = 15 -9
x = 6
The solution to the system of the equations is x=6 and y =3
(6, 3)
Answer:is there a chart or something else to the question?
Step-by-step explanation: