In the given diagram, ABCD is a square and semi-circular regions have…

Question

In the given diagram, ABCD is a square and semi-circular regions have been added to it by drawing two semi-circles with AB and CD as diameters. If the total area of the three regions is 350 sq.cm, then the length of the…

Accepted Answer

Option D. 14 cm. Answer & Solution Answer: Option D Solution: Let the length of the side of the square be x cm Then, radius of each semi-circle = ( x/2 ) cm Total area : & = [ x^2 + /2 ( x/2 )^2 + /2 ( x/2 )^2 ]cm^2 & = ( x^2 + /4 × x^2 )cm^2 & x^2 + /4 × x^2 = 350 & x^2 + 22x^228 = 350 & x^2 +…

In the given diagram, ABCD is a square and semi-circular regions have been added to it by drawing two semi-circles with AB and CD as diameters. If the total area of the three regions is 350 sq.cm, then the length of the side of the square is equal to :

Solution