Linear Equations and Mensuration
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What you'll study, topic by topic
Linear equations in two variables, Mensuration: Area and Perimeter
Sample questions with model answers
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Write a linear equation representing a situation where a person earns $500 per week and spends $200 per week. Let x be the number of weeks and y be the amount of money left.
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The equation is $y = 500x - 200x = 300x$.
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A rectangle has a length that is twice its width. If the perimeter is 36 cm, find the dimensions of the rectangle.
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The dimensions are length = 12 cm and width = 6 cm.
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Solve the linear equation $2x + 3y = 12$ for $y$ in terms of $x$.
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Rearranging gives $y = \frac{12 - 2x}{3}$.
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Find the area of a triangle with a base of 10 cm and a height of 5 cm.
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The area is $A = \frac{1}{2} \times 10 \times 5 = 25$ cm².
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