Question
The perimeter of a room is 16.8cm. If the width is (X - 3)cm, find it's length in terms of X
Answers
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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.
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.