Question

Area of a square is same as that of a rectangle the length and breadth of the rectangle are respectively 5cm more and 4cm less than side of the square. Find the side of the square

Answer 1

Let the side of a square be x cm.

A.T.Q,

Length Of Rectangle= (x+5)cm
Breadth Of Rectangle= (x-4)cm

Area Of Square = Area Of
Rectangle .... {Given}

Hence,
$x {}^{2} = (x + 5)(x - 4)$
$x {}^{2} = x { }^{2} - 4x + 5x - 20$
$- x = - 20$
$x = 20 \: cm$
Therefore, Side of Square = 20 cm

Answer 2

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