Waec Model Questions Vol1 2018 Mathematics Question 5

Practice essay / theory question 5 from the 2018 Waec Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions, Mensuration .

Waec Model Questions Vol1 2018 Mathematics Essay / Theory
Topics: Algebraic Expressions Mensuration
Question 5 WAEC_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

A rectangular garden has its length expressed as 3x + 2 metres and its width expressed as x – 1 metres, where x is a positive integer. The area of the garden is represented by the algebraic expression 3x² + a x + b square metres.

Question Parts

( a )
Obtain the algebraic expression for the area by multiplying the length and width.
( ) Show the expanded form.
( ) Hence determine the values of a and b.
( b )
If the perimeter of the garden is 48 metres, find the value of x and then compute the numerical area of the garden.
( c )
The garden is to be fenced using wire that costs ₦150 per metre. Write an expression for the total cost in terms of x and then calculate the cost using the value of x obtained in part (b).

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About This Question

This is Waec Model Questions Vol1 2018 Mathematics Question 5. It is one of the essay questions from the 2018 Waec Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions, Mensuration .

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