Rectangle ABCD has diagonals AC and BD. If the diagonal lengths are AC = 36 cm and BD = (3x + 3) cm, find the value of x
Since the two diagonals of a rectangle are of equal length, solve
3x + 3 = 36
3x = 33
You can surely finish this
X=11
To find the value of x, we can use the fact that the diagonals of a rectangle are equal in length.
Given:
AC = 36 cm
BD = 3x + 3 cm
Since AC = BD, we can set up the equation:
36 = 3x + 3
To solve for x, we can isolate it on one side of the equation. Let's do that:
36 - 3 = 3x
33 = 3x
Now, we can divide both sides of the equation by 3 to solve for x:
33/3 = 3x/3
11 = x
Therefore, the value of x is 11.
To find the value of x, we can use the properties of rectangles. In a rectangle, the diagonals are equal in length. Since we are given the length of diagonal AC as 36 cm, we can set up an equation with the length of diagonal BD and solve for x.
The equation we can form is:
AC = BD
Substituting the given values, we have:
36 = 3x + 3
Now, let's solve for x:
36 - 3 = 3x
33 = 3x
To isolate x, we divide both sides of the equation by 3:
33/3 = 3x/3
11 = x
Therefore, the value of x is 11.