Question

find the value of a in the parallelogram.
a = 23
(type an integer or a decimal.)
ab = 25.4
(type an integer or a decimal.)
bc = 19.5
(type an integer or a decimal.)
cd = 25.4
(type an integer or a decimal.)
ad =
(type an integer or a decimal.)

Explanation:

Step1: Use the property of parallelogram (opposite sides are equal)

In a parallelogram \(AB = CD\) and \(BC=AD\). We already know \(a = 23\).

Step2: Calculate \(AD\)

Since \(BC=a - 3.5\) and \(AD=a + 2.4\) (opposite sides of parallelogram are equal, but we can also use the fact that \(AD = 19.5\) (because \(BC = AD\) and \(BC=a-3.5=23 - 3.5=19.5\))

Answer:

\(19.5\)