Question

A wire is in the shape of a square of side 14cm. If the same wire is rebent in the shape of a rectangle whose length and breadth are in the ratio 4:3, then what will be the dimensions of the rectangle? Also find which shape encloses more area.​

Answer 1

Perimeter of square =4*side

Perimeter of square =4*14

Perimeter of square =56cm

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Now,

Let the length of rectangle be 4x
And breadth be 3x

Perimeter of rectangle =56

2(lenght + breadth) =56

4x+3x =56/2

7x =28

x =28/7

x=4

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Sides of rectangle are :-

3*4 =12 cm =breadth

4*4=16 cm =length
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Area of square =side²

Area of square =14²

Area of square =196cm²

Area of rectangle =lenght * breadth

Area of rectangle =12*16

Area of rectangle = 192cm²
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Area of square =196cm²
Area of rectangle =192 cm²
_________________

196cm² is greater than 192cm²

So,

Area of square is more in comparison to the area of rectangle...