Answer: 22 cm.
Step-by-step explanation:
Formula for area of trapezium: [tex]Area = \dfrac12 (\text{Sum of parallel sides})\times \text{(Distance between them)}[/tex]
Given: Area = [tex]550\ cm^2[/tex]
Length of parallel sides : 23 cm and 27 cm
Let h=distance beteen them.
then
[tex]550=\dfrac12 (23+27)(h)\\\\\Rightarrow\ 550=\dfrac12(50)h\\\\\Rightarrow\ 550=25h\\\\\Rightarrow\ h=\dfrac{550}{25}\\\\\Rightarrow\ h= 22[/tex]
Hence, the distance between them = 22 cm.
