Q5 The perimeter of a rectangle is 40 cm. l Its light lis 2 more then twice twice its breadth then find it legth a and breadth and also find it area.
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Answer:
To Find:- sides and area
Solution:-
we know
Perimeter of a rectangle= 2(l+b)
here,both values are unknown
then,let
breadth=x
Length is 2 more than twice the breadth
length=2x+2
substituting the values accordingly
2(2x+2+x)=40
2(3x+2)=40
6x+4=40
6x=40-4=36
x=36÷6
x=6
Therefore the sides are
breadth=x=6
length=2x+2=2×6+2=12+2=14
Let's check whether it's correct or not
2(2x+2+x)=40
2(14+6)=40
2×20=40
40=40
L.H.S=R.H.S
hence verified
Now To Find Area
we know
Area of a rectangle= l×b
that is
Area= 14×6
Area= 84cm²
Hope it helps
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