(Q3)Find the width of the space for spectators discussed in section 5.1. i.e.,

Sports committee of Dhannur High School wants to construct a Kho-Kho court of dimensions 29 m × 16 m. This is to be laid in a rectangular plot of area 558 m2. They want to leave space of equal width all around the court for the spectators. What would be the width of the space for spectators? Would it be enough?

Answer

Here, we found that if the width of the space for spectators is x m, then x satisfies the equation 2x 2 + 45x - 47 = 0. Applying the factorisation method we write this equation as:-

2x2-x + 47x - 47 = 0

x(x-) + 47(x-) = 0

(x - )(x + 47) = 0

So, the roots of the given equation are x = or x =
-47
. Since 'x' is the width of space of the spectators it cannot be negative.

Thus, the width is m. So it is not enough for spectators.