The side of a rectangle are (x+1)m and (2x+5) if the perimeter is 36m, find the value of x
To find the value of x, we can set up an equation using the given information.
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter is given as 36m.
Perimeter = 2(length + width)
So, we have the equation:
2((x+1) + (2x+5)) = 36
Now, let's simplify the equation:
2(x+1 + 2x+5) = 36
2(3x+6) = 36
6x + 12 = 36
Next, let's isolate the variable:
6x = 36 - 12
6x = 24
Finally, to find the value of x, divide both sides of the equation by 6:
x = 24 / 6
x = 4
Therefore, the value of x is equal to 4.
To find the value of x, we can use the formula for the perimeter of a rectangle, which is:
Perimeter = 2 * (length + width)
In this case, the length of the rectangle is represented by (x + 1) and the width is represented by (2x + 5). The perimeter is given as 36m.
So, we can set up the equation:
36 = 2 * ((x + 1) + (2x + 5))
Simplifying the equation, we have:
36 = 2 * (3x + 6)
Dividing both sides of the equation by 2, we get:
18 = 3x + 6
Subtracting 6 from both sides of the equation, we have:
12 = 3x
Finally, dividing both sides of the equation by 3, we can find the value of x:
x = 4
Hence, the value of x is 4.