the length of a rectangle is 8 cm more than twice its breadth if it's perimeter is 76 cm find the length and breadth
abhishek2907:
breath is 30 cm
Answers
Answered by
10
Let breadth = x
Length = 2x + 8
Perimeter = 2 ( l + b )
2( 2x + 8 + x ) = 76 cm
2( 3x + 8 ) = 76 cm
6x + 16 = 76 cm
6x = 60 cm
x = 10 cm
Therefore, breadth = 10 cm
length = 2*10 + 8 = 28 cm
Length = 2x + 8
Perimeter = 2 ( l + b )
2( 2x + 8 + x ) = 76 cm
2( 3x + 8 ) = 76 cm
6x + 16 = 76 cm
6x = 60 cm
x = 10 cm
Therefore, breadth = 10 cm
length = 2*10 + 8 = 28 cm
Answered by
7
Hello,
let the breadth be x.
thus length:
b=2x+8
the perimeter is:
P=2×(b+h)=76
so:
2×(2x+8+x)=76;
2×(3x+8)=76;
6x+16=76;
6x=76-16;
6x=60;
x=60:6=10
then:
length=b=2x+8=(2×10)+8=20+8=28 cm
and
breath=h= 10 cm
bye :-)
let the breadth be x.
thus length:
b=2x+8
the perimeter is:
P=2×(b+h)=76
so:
2×(2x+8+x)=76;
2×(3x+8)=76;
6x+16=76;
6x=76-16;
6x=60;
x=60:6=10
then:
length=b=2x+8=(2×10)+8=20+8=28 cm
and
breath=h= 10 cm
bye :-)
good answer.
perhaps it is not required to write such a long answer.
you may write fewer lines, in my opinion to save some effort and time.
perhaps the answer was deleted by mistake.
thanks :-)
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