Question

The length and breadth are in the ratio of 8:9 . The perimeter of the field is 255m. Find the dimensions of the field

Answer 1

• As per the data given in the question, we have to find the dimensions of the field.
• Given data- Perimeter of field is $255m.$

        Let the length and breadth are $8x$ and $9x$ respectively.

        As we know, the area of rectangle is $length\times breadth.$

• We will apply the perimeter of rectangle (formula). we will get it,

         $\Rightarrow 2(8x+9x)=255.$

         $\Rightarrow 16x+18x=255$

         $\Rightarrow 34x=255$

         $\Rightarrow x=\frac{255}{34}$

         $\Rightarrow x=7.5.$

         So, the length of field,

         $\Rightarrow8\times7.5.=60.$

         And the breadth of field,

         $\Rightarrow 9\times7.5=67.5m$

         

         

     

         

         

Answer 2

Given that:- The ratio of length and the breadth is $8:9$

and the perimeter is $255m,$

To find:- Dimension of field,

As we know that, perimeter of rectangle = $2(l+b)$

$=>2(8x+9x)=255$

$=>16x+18x=255$

By adding both term,

$=>34x=255$

$=>x=\frac{255}{34}$

$=>x=7.5$

Therefore, the length of the field,

$=>8*7.5=60$

and for breadth of the field,

$=>9*7.5=67.5$

Hence, the dimension of the field is $60m$ and $67.5m.$