Question

the perimeter of a rectangular plot is 400 feet. If the breadth of the plot is 50 feet. Find the ratio of the length of rectangular plot to its width in simplest form
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Answer 1

Step-by-step explanation:

if breadth is 50 then length is 150. their ratio is 1:3 please mark me as brainliest.

Answer 2

To find : ratio of the length of rectangular plot to its width in simplest form .

Given : perimeter of rectangular plot $= 400 \ ft$ ,

              breadth = $50 \ ft$  

• According to question we are given that perimeter and breadth of rectangular plot is $400 \ ft$ and $50\ ft$ respectively .  

• To find perimeter we use following formula -

         Area of perimeter of plot = $2 ( l + b )$

• Substituting the values we get,

          $400 = 2 ( l + 50 ) \\200 = l + 50 \\l = 200 - 50 \\l = 150$

• Therefore , length of plot is $150 \ ft$ .
• Now ratio of length  its width is = $\frac{150}{50}$

                                                            $= \frac{3}{1}$

                                                            $= 3 : 1$

Hence, ratio of the length of rectangular plot to its width in simplest form is $3 : 1$ .