Answer:
<em>The perimeter is c. 28 millimeters</em>
Step-by-step explanation:
<u>The Perimeter of a Square</u>
The perimeter of a square is the sum of all its side lengths. If the side length is L, then the perimeter is:
P = 4L
The diagonal of a square is the hypotenuse of a right triangle with both legs of length L.
Applying Pythagora's theorem, we find the length of the diagonal is:
We know the diagonal of a square is
We can find the side length L:
Simplifying:
L = 7 millimeters
Thus, the perimeter is:
P = 4*7 = 28
The perimeter is c. 28 millimeters
Answer:
x = 1
y = 3
Step-by-step explanation:
We can solve this problem by inputting the second equation into the first equation by replacing the y variable with the second equation.
x + 3y = 10
y = x + 2
x + 3(x + 2) = 10
Now, distribute three with x and 2
3 * x = 3x
3 * 2 - 6
x + 3x + 6 = 10
4x + 6 = 10
Subtract 6 from both sides
4x = 4
So, x = 1
Solve for y by replacing x in the second equation with 1.
y = 1 + 2
y = 3