A wire is in the shape of a regular pentagon of side 12 cm. It is rebent into the
shape of a rectangle whose length is 3/2 times its breadth Find the length and the
breadth of the rectangle.Explain it nicely and step-by-step
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A wire is in the shape of a regular pentagon of side 12 cm. It is rebent into the
shape of a rectangle whose length is 3/2 times its breadth Find the length and the
breadth of the rectangle.Explain it nicely and step-by-step
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It is given that a wire of length 20 m is to be folded in the form of a rectangle; therefore, we have:
Perimeter of the rectangle = 20 m
⇒ 2(Length + Breadth) = 20 m
⇒ (Length + Breadth ) = 20/2 = 10 m
Since, length and breadth are positive integers in metres, therefore, the possible dimensions are:
(1m, 9m), (2m, 8m), (3m, 7m), (4m, 6m) and (5m, 5m)
Thus, five rectangles can be formed with the given wire.
Answer:
breath = 3 cm
length = 9 cm
3/2 means 1 and a half so
6 × 1 and a half is 9