2 marksWord Problems (Linear and Quadratic Equations/Inequalities)

CSEC Mathematics · Question 2(b)

A farmer is enclosing a rectangular plot with a wire fence. The width is 3 metres less than its length, l. The area is 378 square metres.

Given that the area enclosed by the fence is 378 square metres, show that l² - 3l - 378 = 0.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

2(a)(i)Make x the subject of the formula y = x/5 + 3p.[2 marks]
2(a)(ii)Solve the following equation by factorization: 2x² - 9x = 0.[2 marks]
2(c)(i)Represent this information as an equation in terms of F, e and an appropriate constant, k.[1 mark]
2(c)(ii)Using the equation obtained in (c)(i), or otherwise, determine the value of x and y.[2 marks]

More practice: the rest of this paper · more Word Problems (Linear and Quadratic Equations/Inequalities) questions · all CSEC Mathematics past papers