ABCD is a trapezium in which AB// DC, AB is 16 cm and DC is 24 cm. If the area of the trapezium is 215 cm2 , find the distance between its parallel sides Let me know fast pls❤✨ About the author Samantha
[tex]area \: of \: trapizium = \frac{h(a + b)}{2} [/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 215 \: {cm}^{2} = \frac{h(16 + 24) }{2} [/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 215 = \frac{h \times 40}{2} [/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 215 = h \times 20[/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{215}{20} = h[/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10.75 = h[/tex] [tex]Start \: following \: me . \: If \: this \: answer \: is \\ helpful \: so \: mrk \: my \: answer \: as \\ brainliest \: answer.[/tex] Reply
Answer: 10.75 cm Step-by-step explanation: Area of trapezium = 1/2 X (sum of parallel sides) X distance between it’s parallel sides 215 = 1/2 X (24+16) X h 215 = 1/2 X 40 X h 215 = 20h 215/20 = h h = 10.75 cm so the distance between it’s parallel sides = 10.75 cm Reply
[tex]area \: of \: trapizium = \frac{h(a + b)}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 215 \: {cm}^{2} = \frac{h(16 + 24) }{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 215 = \frac{h \times 40}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 215 = h \times 20[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{215}{20} = h[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10.75 = h[/tex]
[tex]Start \: following \: me . \: If \: this \: answer \: is \\ helpful \: so \: mrk \: my \: answer \: as \\ brainliest \: answer.[/tex]
Answer:
10.75 cm
Step-by-step explanation:
Area of trapezium = 1/2 X (sum of parallel sides) X distance between it’s parallel sides
215 = 1/2 X (24+16) X h
215 = 1/2 X 40 X h
215 = 20h
215/20 = h
h = 10.75 cm
so the distance between it’s parallel sides = 10.75 cm