Respuesta :
Answer: [tex]9\ \text{units}[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram with
[tex]AB=9x+2,\quad CD=12-4,\quad BC=x+7[/tex]
In a parallelogram, opposite sides are equal and parallel
[tex]\therefore AB=CD\ \text{and}\ BC=AD[/tex]
Therefore, the length of AD is equal to BC i.e. [tex]x+7[/tex]
Also, [tex]9x+2=12x-4[/tex]
on solving
[tex]3x=6\\x=2[/tex]
[tex]So, AD=x+7\\AD=2+7\\AD=9\ \text{units}[/tex]
The measure of the length AD is 9 units.
Given
ABCD is a parallelogram.
The measure of the sides of a parallelogram is AB = 9x+2, CD = 12x−4, BC = x+7.
Parallelogram;
A parallelogram is a quadrilateral with two of its sides parallel.
The opposite sides and angles of a parallelogram are equal.
In the parallelogram the opposite sides are parallel.
In parallelogram ABCD; AB = CD and BC = AD
Then,
[tex]\rm AB = CD \\\\9x+2=12x-4\\\\9x-12x=-4-2\\\\-3x=-6\\\\x=\dfrac{-6}{-3}\\\\x=2[/tex]
Therefore,
The length of AD is;
[tex]\rm BC = AD\\\\AD=x+7[/tex]
[tex]\rm AD = 2+7\\\\AD=9[/tex]
Hence, the measure of the length AD is 9 units.
To know more about parallelograms click the link given below.
https://brainly.com/question/1563728
