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CBSE Class 10 Maths (Standard) 2022 · Paper 30/3/1 · Question 13

Quadratic Equations 4 marks Medium
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 7 m and 12 m. The area of the pool is 36 sq. m.
  1. (a)Based on the information given above, form a quadratic equation in terms of .[2]
  2. (b)Find the width of the sidewalk around the pool.[2]

Answer

(a) (equivalently ). (b) The sidewalk width is m.

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