Question

Use the given information to find the length of all four sides of parallelogram ABCD just number 32

Answer 1

• AB=13cm

,

• BC=33cm

,

• CD=13cm

,

• AD=33cm

Step-by-step explanation:

The perimeter of the parallelogram = 92 cm

Let the length of side AB = x

AD is 7 more than twice AB.

`AD=2x+7`

AB and AD are adjacent sides.

`\begin{gathered} \text{Perimeter}=2(AB+AD) \\ 92=2(x+2x+7) \end{gathered}`

First, we solve for x:

`\begin{gathered} 92=2(3x+7) \\ 3x+7=(92)/(2) \\ 3x+7=46 \\ 3x=46-7 \\ 3x=39 \\ x=(39)/(3) \\ x=13 \end{gathered}`

Therefore:

The side lengths of the parallelogram are:

• AB=13cm

,

• BC=33cm

,

• CD=13cm

,

• AD=33cm