Question

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​

Answer 1

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

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