Question

Can you help with this

Answer 1

In the given parallelogram ABCD:

CD=5x-18

BC=3x-6

AB=2x+12

From the properties of parallelogram: The opposite sides of parallelogram are equal

Pair of opposite sides are:

AB & CD

BC & DA

Opposite sides are equal:

`\begin{gathered} AB=CD \\ 2x+12=5x-18 \\ 5x-2x=12+18 \\ 3x=30 \\ x=(30)/(3) \\ x=10 \end{gathered}`

x = 10

Substitute the value of x = 10 in the expression of BC

BC = 3x - 6

BC = 3(10) - 6

BC = 30 - 6

BC = 24

Opposite sides are equal: BC = DA

BC = 24 = DA

DA = 24

Answer: DA = 24