If AR = 3x + 6, BC = x + 18, and RC = 7, then...

AR = ??
RB = ??

AR = 24 units

RB = 25 units

Step-by-step explanation:

In a rectangle:

In rectangle ABCR

∵ AR and BC are opposite sides

∴ AR = BC

∵ AR = 3x + 6

∵ BC = x + 18

- Equate them to find x

∴ 3x + 6 = x + 18

- Subtract x from both sides

∴ 2x + 6 = 18

- Subtract 6 from both sides

∴ 2x = 12

- Divide both sides by 2

∴ x = 6

Substitute the value of x in the expression of AR to find its length

∵ AR = 3(6) + 6

∴ AR = 18 + 6

∴ AR = 24 units

∵ AC is a diagonal of rectangle ABCR

∴

∵ AR = 24 units

∵ RC = 7 units

∴

∴ AC = 25 units

∵ RB is a diagonal of the rectangle ABCR

∵ The two diagonal of the rectangle are equal in length

∴ AC = RB

∴ RB = 25 units

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2