The length of a rectangle is 4 cm more than twice the breadth. If the perimeter is 80 cm. Find the length of that rectangle.
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Answered by
12
Answer:
l=2b+4
perimeter of rectangle=2(l+b)
perimeter of this rectangle = 80 cm =2(2b+4+b)
80=2(3b+4)
80=6b+8
80-8=72=6b
72/6=12 cm =breadth
so length=2*12+4=24+4=28 cm
Step-by-step explanation:
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Answered by
1
Given:
Length of rectangle = 4cm
Perimeter = 80 cm
To Find:
The length of the rectangle
Solution:
Let the breadth of rectangle be = x
Then the length will be = ( 2x + 4)
Perimeter of rectangle = 2.Length + 2.Breadth
Thus -
2( 2x+4) + 2x = 80
4x + 8 + 2x = 80
6x = 72
x = 12
Breadth of rectangle = 8cm
Substituting the value -
Length = 2x + 4
= 2(12) + 4
= 24 +4
= 28
Answer: Length of the rectangle is 28cm
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