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.

Mathematics
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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Answer

(length) \times (width) $$

Step 1: Form the equation for the area of the plot.
The area of a rectangle is length multiplied by width.
Area=(length)×(width)Area = (length) \times (width)
Substitute the given values (length = (x+8)(x + 8) m, width = xx m, area = 1212 m2^{2}):
12 m2=(x+8) m×x m12\,m^{2} = (x + 8)\,m \times x\,m

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

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.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
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\,m^2 = (x + 8)\,m × x\,m x(x + 8) =