Question

What is the perimeter of the parallelogram in the below image (in units)?​

Answer 1

Answer:

perimeter of the parallelogram=16b+8a+6

Answer 2

Given:

The sides of a parallelogram

To find:

The perimeter

Solution:

The required perimeter is 102 units.

We can obtain the perimeter's value by adding all the given sides of the parallelogram.

We know that a parallelogram's opposite sides are of equal measure.

So, 9+2a=4a-3.

On solving,

9+3=4a-2a

12=2a

6=a

Similarly, 6b+2a=10b

2a=4b

2×6/4=b

12/4=b

3=b

Now the required sides are as follows-

6b+2a=6×3+2×6=18+12=30

4a-3=4×6-3=24-3=21

10b=10×3=30

9+2a=9+2×6=9+12=21

The required perimeter=30+21+30+21

=102 units

Therefore, the required perimeter is 102 units.