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 times its breadth. Find the length and the breadth of the rectangle.

Question

KnowledgeBoat · Accepted Answer

Given: Side of regular pentagon = 12 cm Length of rectangle = × breadth Length of the wire = Perimeter of regular pentagon = 5 × side = 5 × 12 cm = 60 cm Let the breadth of the rectangle be `b` cm. Then, length of the rectangle = b cm Since the wire is rebent into the shape of a rectangle, Perimeter of rectangle = Length of wire ⇒ 2(length + breadth) = 60 ⇒ 2 = 60 ⇒ 2 × = 60 ⇒ 5b = 60 ⇒ b = ⇒ b = 12 cm Length of rectangle = × 12 = 18 cm Hence, the length of the rectangle is 18 cm and the breadth is 12 cm.

Mathematics

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 times its breadth. Find the length and the breadth of the rectangle.

Mensuration

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Mathematics

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 times its breadth. Find the length and the breadth of the rectangle.

Mensuration

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(i) 9 m and 6 m
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(iii) 14 m and 4 m
Which one has the largest area and which one has the smallest area?