Question

11. The area of a rectangular plot whose length is thrice its breadth is 1728 m2. Find the perimeter of the​

Answer 1

Given-

• Area of rectangular plot = 1728 m²
• Breadth = let x , so
• Length = 3x

To Find-

• Length , Breadth &
• Perimeter of the rectangular plot

Formula to be use-

• Area of rectangle= (length*breadth)
• Perimeter of rectangle= 2(length+breadth)

Step-by-step solution-

$area = (length \times breadth) \\ 1728 = (3x \times x) \\ 1728 = 3 {x}^{2} \\ \frac{1728}{3} = {x}^{2} \\ 576 = {x}^{2} \\ {576}^{2} = x \\ 24 = x$

Now , x = 24 means

Breadth = 24 m

Length = 3x = 3*24

= 72 m

__________________

$perimeter = 2(length + breadth) \\ perimeter = 2(72 + 24) \\ perimeter = 2 \times 96 \\ perimeter = 192 \: m$

hence, perimeter is 192 m