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Algebra
in a rectangle 8 vertical and 4 horizontal lines are drawn find the number of rectangle formed
Read Solution (Total 14)
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- 8 vertical lines plus the 2 lines of the existing rectangle(as its mentioned in the question "in a rectangle") accordingly 4 plus 2 horizontal lines.
therefore
10C2*6C2= 675 and if its asked for the new rectangle formed than
675-1=674 (excluding the existing rectangle) - 9 years agoHelpfull: Yes(29) No(0)
- 6C2 * 10C2=675
- 9 years agoHelpfull: Yes(13) No(7)
- 8 vertical lines
4 horizontal
now,2 horizontal and 2 vertical already there in rectangle
so,
H=8+2=10
V=4+2=6
number of horizontal and vertical lines required to make rectangle=2 each
so
10 C 2 * 6 C 2= 675 - 9 years agoHelpfull: Yes(12) No(0)
- 8c2*4c2=168
- 9 years agoHelpfull: Yes(7) No(2)
- as relates this to formula ....
no.of vertical lines are 8 means m=8 and no. of horizontal line n=4
so,(1+2+3+........+m)(1+2+.....+n) = (1+2+3+.......+8)(1+2+....+4) = (36)(10) = 360
so no.of rectangle formed is 360 - 9 years agoHelpfull: Yes(3) No(4)
- vertical lines=8
horizontal lines=4
one triangle is alredy exisi i:e,2 vertical lines and 2 horizontal lines.
so, vertical lines=10
horizontal lines=6
then,
10C2*6C2=675 - 9 years agoHelpfull: Yes(1) No(0)
- 7*3= 21rectangles
- 9 years agoHelpfull: Yes(0) No(4)
- 8 verticle means 9 colunm 4 horizontal means 5 =9*5=45
- 9 years agoHelpfull: Yes(0) No(4)
- ractange with 4 hor and 2 verticle line=6
ractange with 4 hor and 3 verticle line=6*2=12
ractange with 4 hor and 4 verticle line=12*2=24
similry
ractange with 4 hor and 8 verticle line=192*2=384 - 9 years agoHelpfull: Yes(0) No(2)
- 9*5=45 small rectangles formed
- 9 years agoHelpfull: Yes(0) No(2)
- 8c2*4c2=168
- 9 years agoHelpfull: Yes(0) No(2)
- 46 RECTANGLES
- 9 years agoHelpfull: Yes(0) No(1)
- there are 8 vertical lines and 4 horizontal lines
m=8,n=4
number of rectangle formed is (1+2+3+-------+m )(1+2+3+4+---------+n)
using this formula
ans wil be
360
- 9 years agoHelpfull: Yes(0) No(0)
- if ractangal has m row and n column then no of rectangal is given by [1+2+3+.........m][1+2+3+...n] so 15*45=645
- 9 years agoHelpfull: Yes(0) No(0)
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