Question

The area of rectangular plot is 2400 square meters and it's length is 1 1/2 times to it's breadth. What is the perimete

Answer 1

Area of the given plot = 2400 m²

Let the breadth be 'x' m.
∴ Length = 3/2 * x $= \frac{3x}{2}$

Now,
Area of the rectangular plot = length * breadth

$2400 = x * \frac{3x}{2}$
$2400 = \frac{3 x^{2} }{2}$
$x^{2} = \frac{2400}{3}*2$
$x^{2} = 1600$
x = √1600
x = 40 m.

Breadth = 40 m
Length = 3x/2 = 3*40 / 2 = 60 m

Perimeter of the rectangular plot = 2 ( length + breadth )
= 2 ( 40 + 60 )
= 2 ( 100 )
= 2 * 100
= 200 m

∴ The perimeter of the given rectangular plot is 200 m.