(5) The length of a rectangle is 1 cm more than twice its
breadth. What is the length, if the breadth is 'b'cm?
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Step-by-step explanation:
⇒ Length of rectangle is 1 cm more than twice its breadth.
⇒ Perimeter = 50 cm
⇒ Perimeter = 2 × (l + b)
Let breadth (b) of rectangle be x.
So, length (l) = 2x + 1
⇒ Perimeter = 2 × (l + b)
⇒ 50 = 2 × (2x + 1 + x)
⇒ 50 = 2(3x + 1)
⇒ 50 = 6x + 2
⇒ 50 - 2 = 6x
⇒ 48 = 6x
⇒ x = 48/6
⇒ x = 8 cm.
Now, Breadth = 8 cm.
Length = 2 × 8 + 1 = 17 cm
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