Q.

In the picture given, one can see a rectangular in-ground swimming pool. There is a concrete sidewalk of width x metres around the pool. The outside edges of the sidewalk measure 7 m and 12 m. The area of the pool is 36 m².

Answer the following:

 

(ii) Find the width of the sidewalk around the pool.

1 3/2 m  
2 3/1 m  
3 2/2 m  
4 -3/2 m  

Ans.

(1)

Solve 2x²  19x + 24 = 0:

⇒ (x − 8)(2x − 3) = 0

⇒ x = 8  or  x = 3/2

Since x = 8 m would make the pool dimensions negative, we reject it. Hence,

Width of the sidewalk = 3/2 m.