the perimeter of quadrilateral ABED is 36.
What is circumference?
A circumference is the total distance around a plane shape. Another name for circumference is called perimeter
To calculate the circumference of the quadrilateral, we use the formula below.
Formula:
- Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1
From the Diagram,
Given:
- /AB/ = /DC/ = 8 cm,
- /BE/ = 2×/DA/ = 2×6 = 12 cm
- /ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
- /DA/ = 6 cm
Substitute these values into equation 1
- Peri. of quadrilateral ABED = 8+12+10+6
- Peri. of quadrilateral ABED = 36 cm
Hence, the perimeter of quadrilateral ABED is 36.
Learn more about circumference here: https://brainly.com/question/20489969
#SPJ1
