Question

The length of a room is three times its width and the area of the floor is 75m square . Find the length and the width of the room

Answer 1

To find : length and width of floor .

Given : The length of a room is three times its width.

            Area of the floor is $75\ m^{2}$

Solution :

• Let width of room be $x$ .
• Then according to question length of floor will be $3x$ .
• To find area we use following formula -
• Area of floor $= l \times b$
• Substituting the values we get,

           $75 \ m^{2}$ = $3x \times x$

            $3x^{2} = 75 \ m^{2} \\x^{2} = (\frac{75}{3}) m^{2} \\x^{2} = 25 \ m^{2}$

      Taking square root on both sides,

             $x = 5 \ m$

• Therefore , width of floor = $x$ = $5\ m$ .
• length of floor = $3x$ = $3 \times 5 = 15\ m$

Hence, width and length of floor are $5\ m$ and $15\ m$ respectively .