Math, asked by kumaravinash36142, 5 months ago

are triangular field has its length and breadth is such that length is 3 by 4 of its breadth if its area is equal to 25 by 3 square unit then find the value of length and of the rectangular field​

Answers

Answered by ImperialGladiator
5

Step-by-step explanation:

Length is ¾ of it's breadth

And area is 25/3 unit²

We need to find the breadth

Let the breadth be x units

Then length will be 3x/4 units

We know that,

⟹ Area of the rectangle = l × b

\sf  : \implies \:  { \frac{25}{3} unit}^{2}  =  \frac{3x}{4}  \times x \\   \sf  : \implies \:   \frac{25}{3}  =  \frac{ {3x}^{2} }{4}  \\   \sf  : \implies \:   \frac{25 \times 4}{3 \times 3} =   {3x}^{2} \\   \sf  : \implies \:   {x}^{2}  =  \frac{100}{9} \\   \sf  : \implies \:  x =  \sqrt{ \frac{100}{9} }   \\   \sf  : \implies \:  x =  \frac{10}{3}  \: ans.

Hence, breadth is 10/3 units ans.

And length is

 \\  \sf \leadsto  \frac{3x}{4}   \\ \leadsto \frac{3 \times  \frac{10}{3} }{4}  \\  \sf  \leadsto \frac{10}{4 }   \: \: or \:  \:  \frac{5}{2} units \: ans.

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