A Senior Four student is allocated a rectangular piece of land for a project. The area of the plot is 12 m². If the length of the plot is x+8m and width is xm, form an equation for the area and factorise it to obtain the dimensions of the land.

Step 1: Form the equation for the area of the plot. The area of a rectangle is length multiplied by width. Area = (length) × (width); Substitute the given values (length = (x + 8) m, width = x m, area = 12 m^2): 12 m² = (x + 8) m × x m; x(x + 8) =

Solved: A Senior Four student is allocated a rectangular…

Step 1: Form the equation for the area of the plot.
The area of a rectangle is length multiplied by width.

\text{Area} = (\text{length}) \times (\text{width})

Substitute the given values (length = $(x + 8)$ m, width = $x$ m, area = 12 m $^{2}$ ):

12\,\text{m}^{2} = (x + 8)\,\text{m} \times x\,\text{m}

A Senior Four student is allocated a rectangular piece of land for a project. The area of the plot is 12 m². If the length of the plot is x+8m and width is xm, form an equation for the area and factorise it to obtain the dimensions of the land.

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