Class 10 Mathematics | Factorization Method

Activity 1

Method

In your group, read the problem: a rectangular playground has an area of 300 m², and its length is 1 m more than twice its breadth.
Let the breadth be \( x \) m and write the length in terms of \( x \).
Use area = length × breadth to form an equation, and write it in the form \( ax^2 + bx + c = 0 \).
Solve the equation by splitting the middle term and factorising.
Discuss which root can be a breadth, then find the length and breadth of the playground.

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