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Q1.A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 13 cm, find its breadth. Which shape encloses more area?
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Question:
A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which shape encloses more area?
Step-by-step explanation:
Let a be the side of a square, l be the length and b be the breadth of rectangle.
As length of wire is constant, perimeter of both shapes would be same,
>>4a = 2 ( l +b )
>> 40 = 2 ( 12 + b )
>>b= 18cm
Area of square = a² = 10² = 100cm²
Area of rectangle = lb = 12 × 18 = 216cm²
>>Area of rectangle is greater by 116cm²
Hope that helps ya..
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