the length of a rectangle is 1 cm more than 2 times its breadth its perimeter is 80 cm what is its length
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The length of a rectangle is 1 cm more than 2 times its breadth its perimeter is 80 cm what is its length
breadth = x
length = 2x +1
perimeter = 2*(length+breadth)
80 =2(x +2x+1)
80=6x+1
79=6x
Answered by
41
Solution -
Let's assume the breadth as x cm
So, the length as 2x + 1 cm
According to Question,
Given : Perimeter of rectangle = 80 cm
2(length + breadth) = 80 cm
2(x + 2x + 1) = 80
⇒ 3x + 1 = 80 / 2
⇒ 3x + 1 = 40
⇒ 3x = 40 - 1 = 39
⇒ x = 39 / 3
⇒ x = 13
Required Measurements -
Breadth = x = 13 cm
Length = 2x + 1 = 2(13) + 1 = 26 + 1
= 27 cm
Hence, the length is 27 cm and the breadth is 13 cm
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