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 xm, form an equation for the area and factorise the equation to obtain the dimensions of the land.

March 18, 2026Mathematics

ScanSolve AI Answer

March 18, 2026

Answer

$x^{2} = 12$

Step 1: The area $A$ of a rectangular plot is given by the formula
$A = length \times width.$

Step 2: Given length = $x$ m and width = $x$ m, with area = $12$ m²,
substitute into the formula:
$x~m \times x~m = 12~m^2.$

Step 3: Simplify the equation:
$x^2~m^2 = 12~m^2.$
Divide both sides by m²:
$x^2 = 12.$

The equation for the area factor is $x^2 = 12$ .
x^{2 = 12}

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The area A of a rectangular plot is given by the formula A = length × width. Step 2: Given length = x m and width = x m, with area = 12 m², substitute into the formula: x~m × x~m = 12~m^2.

Asked on March 18, 2026Mathematics

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 AnswerAnswered on March 18, 2026

Step 1: The area A of a rectangular plot is given by the formula A = length × width. Step 2: Given length = x m and width = x m, with area = 12 m², substitute into the formula: x~m × x~m = 12~m^2. Step 3: Simplify the equation: x^2~m^2 = 12~m^2. Divide both sides by m²: x^2 = 12. The equation for the area factor is x^2 = 12. x^2 = 12