Find the value of each variable in the parallelogram. Please show work, if possible!
1 answer:
<u>Given</u>:
The diagonals of the parallelogram bisect each other.
Thus, the lengths of the diagonals of the parallelogram are (k + 4), 11, m and 8.
We need to determine the value of the variables k and m.
<u>Value of k:</u>
Since, we know that, the diagonals bisect each other which means that the diagonals cut each other into two equal halves.
Thus, we have;
Thus, the value of k is 7.
<u>Value of m:</u>
Applying the same property that diagonals bisect each other. We have;
Thus, the value of m is 8.
Hence, the value of the variables k and m are 7 and 8 respectively.
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Answer:
36 tiles
Step-by-step explanation:
Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:
81 = x²
So to find x, we must square root both sides of the equation:
x = 9
So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:
9 * 4 = 36
So there are 36 tiles along the edge of the room.
Hope this helps!