The perimeter of a room is 16.8cm. If the width is (X - 3)cm, find it's length in terms of X
Let's start by using the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
We can plug in what we know and simplify:
16.8cm = 2(length + (X - 3)cm)
Divide both sides by 2:
8.4cm = length + (X - 3)cm
Subtract (X - 3)cm from both sides:
8.4cm - (X - 3)cm = length
Simplify:
11.4cm - X = length
So the length of the room in terms of X is 11.4cm - X.
To find the length of the room in terms of X, we need to use the formula for the perimeter of a rectangle.
The formula for the perimeter of a rectangle is: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Given that the perimeter of the room is 16.8cm and the width is (X - 3)cm, we can substitute these values into the formula.
16.8 = 2l + 2(X - 3)
Now, let's solve for the length.
16.8 = 2l + 2X - 6
To isolate the length term, we can simplify the equation.
16.8 + 6 = 2l + 2X
22.8 = 2l + 2X
Next, we can divide both sides of the equation by 2 to solve for l.
22.8/2 = (2l + 2X)/2
11.4 = l + X
Finally, we can subtract X from both sides of the equation to isolate the length.
11.4 - X = l
So, the length of the room in terms of X is (11.4 - X) cm.