Since diagonals of a rectangle are congruent, using the rectangle FOUR, the value of x is: 5.
What are the Diagonals of a Rectangle?
The diagonals of a rectangle are always congruent to each other, that is, they are equal in length and they bisect each other.
Given rectangle FOUR:
- FU = 38 (diagonal)
- RQ = 2x + 9 (half of diagonal)
Therefore, we woud have the following equation:
2(RQ) = FU
Substitute
2(2x + 9) = 38
4x + 18 = 38
4x = 38 - 18
4x = 20
x = 5
Therefore, since diagonals of a rectangle are congruent, using the rectangle FOUR, the value of x is: 5.
Learn more about diagonals of a rectangles on:
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