Algebraic Expressions and Manipulation
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Free Maths Q & A Practice 1 of 5 free exam-style exercises in this topic
A rectangular garden plot measures \((2x+3)\) metres by \((x+5)\) metres, where \(x\gt 1\). A square patio of side \((x-1)\) metres is laid in one corner, and the rest of the plot (shaded) is planted with grass. The diagram is not drawn to scale.

patio grass x − 1 x − 1 x + 5 2x + 3


Which expression, in its simplest form, gives the area of the grass in square metres?
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