14. A wire or leagth 86 cm is bent in the form of a rectangle such that its length is 7 cm more
than its breadth Find the length
and the breadth of the rectange so formed
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Let the length of rectangle=l
⇒ breadth=l−7
⇒ Perimeter of rectangle=2(l+b)= Length of wire
⇒2(l+l−7)=86
⇒2l−7=43
⇒2l=50
⇒l=25cm
⇒ Breadth=18cm.
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Answered by
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Length of wire = 86 cm
Also ,
Length of wire = Perimeter of rectangle
Let breadth of rectangle be x cm.
Then, length = (x + 7) cm
Therefore, breadth of rectangle = 18 cm
Length of rectangle = (18 + 7) cm
= 25 cm
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