the length of a rectangle exceeds the breadth by 3 m and perimeter is 5 times the breadth find the Length breadth and the perimeter of the rectangle
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Answered by
9
Let the breadth be x. So length will be (x+3) and perimeter will 5x
perimeter of rectangle=2(L+B)
5x=2[(x+3)+x]
5x=2(x+3)+2x
5x=2x+6+2x
5x-4x=6
x=6. (breadth)
(x+3)=(6+3)=9. (length)
perimeter=2(9+6)
=30m
hope it will help you
perimeter of rectangle=2(L+B)
5x=2[(x+3)+x]
5x=2(x+3)+2x
5x=2x+6+2x
5x-4x=6
x=6. (breadth)
(x+3)=(6+3)=9. (length)
perimeter=2(9+6)
=30m
hope it will help you
Swarup1998:
Find perimeter also. Edit given.
Answered by
3
Let the breadth be 'x' metres.
Then the length would be 3 metres more than the breadth=(X+3) metres
Now, the perimeter is 5 times the breadth=5x metres
ATQ:-
=>2×(Length+Breadth)=Perimeter
=>2×(x+X+3)=5x
=>2×(2x+3)=5x
=>4x+6=5x
=>6=5x-4x
=>6=X
So, the breadth
=X m
=6 m
Length
=(X+3) m
=(6+3) m
=9 m
Perimeter
=2×(Length+Breadth)
=2(6+9)=2×15=30 m
Then the length would be 3 metres more than the breadth=(X+3) metres
Now, the perimeter is 5 times the breadth=5x metres
ATQ:-
=>2×(Length+Breadth)=Perimeter
=>2×(x+X+3)=5x
=>2×(2x+3)=5x
=>4x+6=5x
=>6=5x-4x
=>6=X
So, the breadth
=X m
=6 m
Length
=(X+3) m
=(6+3) m
=9 m
Perimeter
=2×(Length+Breadth)
=2(6+9)=2×15=30 m
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