To the best of my knowledge, the Prophet ﷺ did not take his meals in a big tray at all, nor did he ever eat well-baked thin bread, nor did he ever eat at a dining table.  

مَا عَلِمْتُ النَّبِيَّ ﷺ أَكَلَ عَلَى سُكُرُّجَةٍ قَطُّ وَلاَ خُبِزَ لَهُ مُرَقَّقٌ قَطُّ وَلاَ أَكَلَ عَلَى خِوَانٍ قِيلَ لِقَتَادَةَ فَعَلَى مَا كَانُوا يَأْكُلُونَ قَالَ عَلَى السُّفَرِ  

The Prophet ﷺ never took his meals at a dining table, nor in small plates, and he never ate thin wellbaked bread. (The sub-narrator asked Qatada, "Over what did they use to take their meals?" Qatada said, "On leather dining sheets."  

مَا أَكَلَ النَّبِيُّ ﷺ عَلَى خِوَانٍ وَلاَ فِي سُكْرُجَةٍ وَلاَ خُبِزَ لَهُ مُرَقَّقٌ قُلْتُ لِقَتَادَةَ عَلَى مَا يَأْكُلُونَ قَالَ عَلَى السُّفَرِ  

From Qatadah, that Anas said: "The Messenger of Allah ﷺ never ate on a table, nor on small plates, not did he eat thin bread." He (Yunus) said: "I asked Qatadah: 'So what did he eat on ?' He said: 'On these leather dining sheets.'"  

مَا أَكَلَ رَسُولُ اللَّهِ ﷺ فِي خِوَانٍ وَلاَ فِي سُكُرُّجَةٍ وَلاَ خُبِزَ لَهُ مُرَقَّقٌ قَالَ فَقُلْتُ لِقَتَادَةَ فَعَلَى مَا كَانُوا يَأْكُلُونَ قَالَ عَلَى هَذِهِ السُّفَرِ  

“The Prophet ﷺ never ate from a dish or from an individual plate.” He said: “From where did he eat?” He said: “From the dining sheet.”  

مَا أَكَلَ النَّبِيُّ ﷺ عَلَى خِوَانٍ وَلاَ فِي سُكُرُّجَةٍ قَالَ فَعَلاَمَ كَانُوا يَأْكُلُونَ قَالَ عَلَى السُّفَرِ  

From Qatadah, that Anas said: "The Messenger of Allah ﷺ never ate on a table, nor on small plates, not did he eat thin bread." He (Yunus) said: "I asked Qatadah: 'So what did he eat on ?' He said: 'On these leather dining sheets.'" (Using translation from Tirmidhī 1788)   

مَا أَكَلَ نَبِيُّ اللهِ ﷺ عَلَى خِوَانٍ وَلَافِي سُكُرُّجَةٍ وَلَا خُبِزَ لَهُ مُرَقَّقٌ قَالَ قُلْتُ لِقَتَادَةَ فَعَلَامَ كَانُوا يَأْكُلُونَ؟ قَالَ عَلَى السُّفَرِ  

The Prophet ﷺ never took his meals at a dining table, nor in small plates, and he never ate thin wellbaked bread. (The sub-narrator asked Qatada, "Over what did they use to take their meals?" Qatada said, "On leather dining sheets." (Using translation from Bukhārī 5415)   

قَالًَ «مَا أَكَلَ رَسُولُ اللهِ ﷺ فِي خِوَانٍ وَلَا سُكُرُّجَةٍ وَلَا خُبِزَ لَه مُرَقَّقٌ» قَالَ وَقُلْتُ لِقَتَادَةَ عَلَى أَيِّ شَيْءٍ كَانُوا يَأْكُلُونَ؟ قَالَ عَلَى السَّفَرِ  

[Machine] "What the Messenger of Allah ﷺ ate was not on a tray. He also said on another occasion that he didn't eat from a table, nor from a plate, nor from leavened bread."  

«مَا أَكَلَ رَسُولُ اللهِ ﷺ عَلَى خِوَانٍ» وَقَالَ مَرَّةً أُخْرَى وَلَا عَلَى مَائِدَةٍ وَلَا فِي سُكُرُّجَةٍ وَلَا خُبِزَ لَهُ مُرَقَّقٌ