Bece Model Questions Vol1 2022 Mathematics Question 10

Practice essay / theory question 10 from the 2022 Bece Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions .

Bece Model Questions Vol1 2022 Mathematics Essay / Theory
Topic: Algebraic Expressions
Question 10 BECE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

A rectangular garden has length \(L = 3x + 4\) metres and width \(W = x - 2\) metres. Its area can be written in the form \(3x^{2} + a x + b\) square metres.

Question Parts

( a )
Expand \((3x + 4)(x - 2)\) and determine the values of \(a\) and \(b\).
( b )
If the perimeter of the garden is 70 metres, find the value of \(x\).
( c )
Using the value of \(x\) from part (b), calculate: i. The cost of fencing the garden at a rate of ₦250 per metre. ii. The cost of planting grass over the whole garden at a rate of ₦150 per square metre. iii. State the total expense.

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About This Question

This is Bece Model Questions Vol1 2022 Mathematics Question 10. It is one of the essay questions from the 2022 Bece Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions .

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