The length and breadth of a rectangle are in the: ratio of 4 : 3 respectively and its area is 1728 m . Find the perimeter of rectangle? (in m)
1). 116
2). 152
3). 176
4). 124
Let the length and breadth of the rectangle be $4x$ and $3x$
=> Area of rectangle = $4x \times 3x = 1728$
=> $x^2 = \frac{1728}{12} = 144$
=> $x = \sqrt{144} = 12$
$\therefore$ Perimeter of rectangle = $2 (4x + 3x)$
= $14x = 14 \times 12$
= $168$ metre
Let the length and breadth of the rectangle be $4x$ and $3x$
=> Area of rectangle = $4x \times 3x = 1728$
=> $x^2 = \frac{1728}{12} = 144$
=> $x = \sqrt{144} = 12$
$\therefore$ Perimeter of rectangle = $2 (4x + 3x)$
= $14x = 14 \times 12$
= $168$ metre