A wire is in the shape of a square of side 10 cm. If the wire isrebent into a rectangle of length 12 cm, find its breadth. Which enclosesmore area, the square or the rectangle?

Explanation

perimeter of square `= 10 xx 4 = 40cm`

perimeter of rectangle = `2(l+b)`

`40 = 2(12+b)`

`b + 12 = 20`

`b = 8cm`

area of rectangle = `l xx b`

`= 12 xx 8 = 96 cm^2`

`area of square = 10^2 = 100 cm^2`

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