Question

3.3 The length of a rectangular children's playground is 2m short of three times its width. The area of the playground is 320m². Let the length be represented by y and the width be represented by x. Express y in terms of x. (2 marks) 3.3.2 Determine the length and the width of the playground. (8 marks) ​

Answer 1

The length and width of the playground is 30 meter and 32/3 meter respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let x represent the width and y represent the length. Hence:

y = 3x - 2   (1)

Area = xy = 320

x(3x - 2) = 320

3x² - 2x - 320 = 0

x = 32/3 m

y = 3(32/3) - 2 = 30 m

The length and width of the playground is 30 meter and 32/3 meter respectively.

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