Question

Use the rectangle FOUR to find the value of x.
in FU = 38, RQ = 2x + 9.​

Answer 1

Answer:

x = 5

Explanation:

2x + 9 = 19

2x = 10

x = 5

Answer 2

Applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.

Diagonals of a Rectangle

• The diagonals of a rectangle are of equal length.
• The diagonals of a rectangle bisects each other into two equal halves.
• FU and RO are diagonals of rectangle FOUR.

Therefore:

2(RQ) = FU

Substitute

2(2x + 9) = 38

4x + 18 = 38

4x = 38 - 18

4x = 20

x = 5

Thus, applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.

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