Since the graphic shows you that both angles across from both of the sides are equal we can tell that both sides are equal.
Now to solve for the variable all you need to do is make an equation where both of the sides are equal to each other.
So...8x - 12 = 12x - 18
Now to solve you need to get rid of the constants, or regular numbers. To do this, add 12 to both sides.
So...8x = 12x - 6
Next, you need to move the variable to one side, do this by subtracting 12x from both sides.
So... -6x = -6
Finally, divide both sides by -6 to get what the variable equals.
So...x = 1
Your final answer is both sides equal 1 in.
So here is the solution of the given problem above.
To find the area we are just going to use this formula. A = L x W.
Let x be the width and 2x is the length. Given that the area is 8 square meters. So let us find x first.
Plug in the values:
8 = (2x)(x)
8 = 2x^2 << divide both sides by 2 and we get
4 = x^2
Then square 4 and x^ 2 and we got
2 = x
Therefore, the width of the room is 2 meters and the length 2x is 4 meters. Hope this is the answer that you are looking for.
Answer:
Step-by-step explanation:
Use distributive property.
Add 12 and subtract 3x on both sides.
Evaluate.
