Saira has arranged a square of side x units, 8 rectangular strips of sides x units and width 1 unit, and 15 squares of side 1 unit to form a bigger rectangle. Find the length and breadth of the rectangle in terms of x.

Question

TextFactorisation of Quadratic Expressions Using Algebra Tiles

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Factor x² + 7x + 12.

Factor x² + 11x + 30.

Factor x² – 5x + 6.

TextFactorisation of Quadratic Expressions Using Algebra Tiles

Fill in the blanks to complete the following identities:

A rectangular pool has area 2x² + 7x + 3 square hastas. If its width is 2x + 1 hastas, find its length. Hasta was a unit used to measure length.

The algebra tiles shown (one x²-tile, five x-tiles and six unit tiles) are arranged to form a rectangle. Which factorisation does it represent?