The area of an equilateral triangle is * square meter. Determine the area of a circle inscribed within the triangle.

Prof of identity of 115 people was verified. 65 of them had passport, 30 of them had both Passport and Voter ID. However, 15 of them could not produce any identity documents. How many of them showed up only with Voter ID?

Rafiq, Shafiq and Arif can alone complete a project in 10 days , 20 days, and 10 days respectively , Rafiq started working on the project alone, Shafiq the project after 2 days, after working together for 4 days both Rafiq and Shafiq left the project and Arif git in. How many days it took to complete the entire project?

Mr. Rashid has saved Taka 1,200 from his month’s salary. he planes to increase his monthly saving by taka 100 in every following month. How much time would it take to save Taka 1,06,200?

Solve the equations: $2{\left(\frac{x+3}{x-3}\right)}^2-7\left(\frac{x+3}{x-3}\right)+6=0$

The area of a rectangle is 1,200 square meter. If the length of the rectangle of the rectangle is reduced 10 meter, it becomes a square, Calculate the length if the diagonal of the rectangle.