The perimeter of MNO is equal to the perimeter of square ABCD. If the lengths of the sides of the triangle are represented by 4x + 4, 5x - 3, and 17, and one side of the square is represented by 3x, find the length of a side of the square.
since the perimeter of a square is 4 times a side, we clearly have
4x+4 + 5x-3 + 17 = 4(3x)
Now solve for x, and the side is 3x.
What is a Square with p q AR
To find the length of one side of the square, we need to set up an equation using the given information.
The perimeter of a square is the sum of all its sides. Therefore, if the perimeter of MNO is equal to the perimeter of square ABCD, we can set up the following equation:
4x + 4 + 5x - 3 + 17 = 3x + 3x + 3x + 3x
Now we can simplify the equation:
9x + 18 = 12x
Next, we need to isolate the variable x. To do this, we can subtract 9x from both sides of the equation:
18 = 3x
Then, we can divide both sides by 3 to solve for x:
x = 6
Now that we have the value of x, we can substitute it back into the equation for the length of a side of the square:
Side of square = 3x = 3 * 6 = 18
Therefore, the length of one side of the square is 18 units.