24. A wire of length 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 rectangle so formed.
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24. A wire of length 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 rectangle so formed.
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Answer:
Breadth of rectangle = x
Length of rectangle = x + 7
Perimeter of rectangle = 2(x + x + 7) = 86
= 2x + 2x + 14 = 86
= 4x + 14 = 86
= 4x = 86 - 14
= 4x = 72
= x = 72/4
= x = 18
So, breadth of rectangle = 18 cm (answer)
Length of rectangle = Breath + 7 cm
= 18 + 7 cm
= 25 cm (answer)