Answer:
i) The value of x is 3.
ii) TE = 20cm
RN = 20cm
Explanation:
According to the properties of rectangles,
The diagonals of rectangles are equal and bisect each other at 90°.
As per this,
OR = OT
![2x + 4 = 3x + 1](https://img.qammunity.org/2022/formulas/mathematics/high-school/59izlfuwx10idi7fljjgb0zv73ybf4pji3.png)
![4 - 1 = 3x - 2x](https://img.qammunity.org/2022/formulas/mathematics/high-school/x6weox3ik6w41dy0dl4c98mjvqyewabh5s.png)
![3 = x](https://img.qammunity.org/2022/formulas/mathematics/high-school/fpds3uiuejwakqyrd2u2mtq5h5fhz1taki.png)
TE = 2OT
TE = 2(3x + 1)
= 6x + 2
= 6(3) + 2
= 18 + 2
= 20
RN = 2OR
RN = 2(2x + 4)
= 4x + 8
= 4(3) + 8
= 12 + 8
= 20