MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
The floor of a rectangular hall is to be tiled. The diagonal of the floor measures 34 m. The length of the hall exceeds twice its width by 4 m.
(i) Taking the width as x metres, express the length and diagonal in terms of x.
(ii) Obtain an equation satisfied by x and simplify it to the standard quadratic form.
(iii) Solve the equation and determine the length and width of the hall.
(iv) Calculate the area of the floor that has to be tiled.