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A wire in the shape of …

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A wire in the shape of square of side 10cm. If the wire is rebent into rectangle of length 12cm, find its breadth. Which encloses more area, the square or the triangle
  • 1 answers

Gaurav Seth 5 years, 2 months ago

Side of square=10cm
Perimeter of square=4 × side=4×10=40cm
Hence the total length of wire is 40cm

Permiter of rectangle=2×(length+breadth)
=2×(12+breadth)
Since length of wire remains same:
2×(12+breadth)=40
12+breadth=20
Breadth=20-12=8cm

Area of square=(side)²
=10²=100cm²

Area of rectangle= length × breadth
=12 × 8=96cm²

Difference in area =100-96=4cm²
Hence area of square is more by 4cm²

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