A wire can form a square of area 36 sq. cm. What is the area of
rectangle when the same wire forms a rectangle in which one side
is 2 cm ?
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Answer:
Area of square=36cm²
=side²=36cm²
=side=√(6cm)²
=side=6cm
Since, the same wire is used to form a rectangle,
Perimeter of rectangle=perimeter of
square
=2(l+b)=4s
=2(2cm+b)=4×6cm
=4cm+2b=24cm
=2b=24cm-4cm
=2b=20cm
=b=20cm/2
=b=10cm
Then, area of rectangle:
=l×b
=2cm×10cm
=20cm²
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