Question

The perimeter of a rectangle field is 240m and ratio between the length and breadth is 5:3 find the are area of the field

Answer 1

Hello dear....

▶Perimeter is the sum of all sides of a figure.
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▶Area is the total surface of a shape or figure .

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Now coming back to your question..

Given Perimeter of the rectangular field =240 m.

Let the length and breadth be 5x and 3x respectively

And we know that perimeter of rectangle
=2 (l+b) unit.

so...........

240=2(5x+3x)

240=2(8x)

240=16x

240/16 =x

x= 15

So the length =5x =5×15 =75

and breadth t= 3x =3×15 =45.

Area of the rectangle = (l×b)sq. unit

so Area of rectangular field = (75×45)m^2

=3375 m^2.

HOPE IT HELPS YOU

Answer 2

Sides are unknown, we just have the factors of sides,


Let :
Length = 5x
Breadth = 3x



$Perimeter \: \: of \: \: rectangle = 240 \: m \: \: \: \: \: \: \: \: \: \: \: \: \: ...(i)$


$\bold{As \: we \: know, Perimeter \: of \: rectangle = 2( length + breadth ) }$


Putting value(s) from ( i ),

=> 2( 5x + 3x ) = 240

=> 2( 8 x ) = 2 × 120

=> 8x = 120

$= > \: \bold{x = 15}$



Now,

Length of Rectangle = 5x = 5( 15 ) = 75 m

Breadth of rectangle = 3x = 3( 15 ) = 45 m





$\text{ Note} : Area \: \: of \: \: Rectangle = ( length × breadth ) \: \: {unit}^{2}$



Hence,

Area of this Rectangle = 75 × 45 m^2


$\mathbf{ Area \: of \: this \: R ectangle =3375 m^2}$