Question

Rectangle RSUT has diagonals that meet at point x.

If RX = 4x, ST = 100 and XU = 5y then solve for x and y.

Answer 1

x=12.5

y=10

Explanation:

Properties of rectangle:

• Opposite sides are congruent
• All angles are right angles
• Diagonals bisect each other
• Diagonals are of equal length

so from the properties we came to know that diagonals bisects each other and diagonals are of equal length

Given Rectangle RSUT has diagonals that meet at point X.

⇒
`RX=SX=UX=TX=(1)/(2)RU=(1)/(2)ST`

⇒
`RX=(1)/(2)ST`

⇒
`4x=(1)/(2)(100)`

⇒
`x=12.5`

Also
`XU=RX`

⇒
`(4)(12.5)=5y`

⇒
`5y=50`

⇒
`y=10`