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 =
(type an integer or a decimal.)

Explanation:

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

In a parallelogram \(AB = CD\) and \(BC=AD\). We know \(AD = 19.5\), so \(BC=a - 3.5=19.5\). Also, \(AB=2a-20.6\) and \(CD=a + 2.4\). But since \(AB = CD\), we can use \(BC = AD\) to find \(a\) first. From \(a-3.5 = 19.5\), we get \(a=19.5 + 3.5=23\).

Step2: Calculate \(CD\)

Since \(CD=a + 2.4\) and \(a = 23\), then \(CD=23+2.4\)

Answer:

\(25.4\)