Question

rectangular field has length and breadth in the ratio of 16: 9 if its perimeter is 750 cm what is its area​

Answer 1

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let the length and breadth be x , so that

perimeter of a rectangle = 2(l+b)

perimeter of the rectangle = 2 ( 16x + 9x )

750 cm = 2(25x )

750 cm = 50x

x= 750/50

x= 15

to check :-

16x = 16*15 = 240cm

9x = 9*15 = 135 cm

Answer 2

                → SO LU TI ON ←

Given :

• Length and breadth of rectangular

       feild are in raion 16 : 9

• And its perimeter is = 750 cm

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To find :

• Area of rectangular field

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Let's solve,

Let the length of rectangular

field is = 16x and

its breadth = 9x

===========================

We know that perimeter of

rectangle = 2×(length + breadth)

So,

Perimeter = 2(l + b)

⇒ 750 = 2 (16x + 9x)

⇒ 750 = 2 × 25x

⇒ 750 = 50x

⇒ x = 750/50

⇒ x = 15 cm

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∴ Length = 16 × 15 = 240 cm

and Breadth = 9 × 15 = 135 cm

===========================

We know that area of rectangle

= Length × Breadth

= 240 × 135

= 32400 cm²