Side AB of quadrilateral ABCD is 150 cm. Side AD is three times AB, side BC is 34 cm smaller than AB

Side AB of quadrilateral ABCD is 150 cm. Side AD is three times AB, side BC is 34 cm smaller than AB. Find CD if the perimeter of the quadrilateral is 916 cm.

1. Let’s calculate the AD side if it is three times more AB:
150 * 3 = 450 cm.
2. Determine the length of BC if it is 34 cm less than AB:
150 – 34 = 116 cm.
3. Calculate the length of the fourth side CD by subtracting the sum of its three known sides from the perimeter of the quadrangle:
CD = 916 – (116 + 450 + 150) = 916 – 116 – 600 = 800 – 600 = 200.
Answer: CD is 200 cm.