A wire of length 16m is to folded in the form of a rectangle. How many rectangles or squares can be formed by folding the wire if the sides are positive integers in metres? Write down the measures of their sides.
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A wire of length 16m is to folded in the form of a rectangle. How many rectangles or squares can be formed by folding the wire if the sides are positive integers in metres? Write down the measures of their sides.
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a) there is one square of sides 4m
Answer:
It is given that a wire of length 20 m is to be folded in the form of a rectangle;
∴ we have: Perimeter of the rectangle =20 m
⇒2(Length + Breadth) =20 m
⇒(Length + Breadth) =
2
20
=10 m
Since, length and breadth are positive integers in metres, therefore, the possible dimensions are: (1,9), (2,8), (3,7), (4,6)
Also, (5,5) can be considered as a rectangle (as every square is a special type of rectangle )
Thus, five rectangles can be formed with the given wire.
This is the concept.
Put the values and get your answer.
:)