Consider a square and a regular hexagon (a 6-sided figure with sides of equal length). One side of the square is 4 feet longer t
han a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
1 answer:
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To solve for x, we have to remember to isolate the variable.
For 1/2, we can make that 0.5, since their values are equivalent. Our equation:
Let's distribute the 0.5 first.
Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.
Then, we simplify the entire expression.
Our equation now:
Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.
Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.
Finally, we divide both sides by 6 to isolate x.