CBSE 2022 · Region 3 · Set 1 · Q13

In the picture given below, one can see a rectangular in-ground swimming pool installed by a family in their backyard. There is a concrete sidewalk around the pool of width x m. The outside edges of the sidewalk measure $\displaystyle 7$ m and $\displaystyle 12$ m. The area of the pool is $\displaystyle 36$ sq. m.

(a)

Based on the information given above, form a quadratic equation in terms of x.

(b)

Find the width of the sidewalk around the pool.