Question

The area of rectangleplot is 2400 sq.M and it is lenght is 1 1/2 times to its breath what is the perimeter

Answer 1

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RECTANGULAR PLOT :-

Let its breadth be X metre.

Then, its length = (3X/2) metre.

Area = length × breadth

Or, 2400 = (3X/2) × X

Or, 2400 = 3X²/2

Or, X = 40

So, breadth = 40 metre.

Length = (3×40/2) or 60 metre.

Considering the length be "l" and breadth be "b" metres respectively, we can say :

Perimeter = 2(l+b)

Or, Perimeter = 2 (60+40) metre.

Or, Perimeter = 200 metre.

Answer 2

Hello

Area of rectangular plot = 2400 m²

Let breadth , b = x

LENGTH is 1 1/2 times than breadth means :

3/2 times bigger

So, length , l=( 3/2 ) x

Area of rectangle = 2400

l * b = 2400

x * (3/2) x = 2400

3x² / 2 = 2400

x² = 2400 * 2/3

x = √1600

x = 40

So, breadth = 40 m

length = 3/2 * 40

length = 60

Perimeter of rectangle = 2(l + b)

= 2 ( 40 + 60 )

= 2 * 100

= 200 m