Matching a formula to a given context

Question 3

The Length of a rectangular paddock is 4 times the width of the rectangular paddock.

Which one of the following represents the perimeter and area of a paddock in terms of the width of the paddock?

a	Perimeter	= 10 × Width, Area	= Length × Width
b	Perimeter	= 5 × Width, Area	= 4 × (Width)²
c	Perimeter	= 10 × Width, Area	= 4 × (Width)²
d	Perimeter	= 5 × Width, Area	= (Width)² ÷ 4

Solution

	Width
		Length = 4 × Width

	Perimeter	= 2(Width + Length).
	The Perimeter	= 2(Width + 4 × Width)
		= 2 × 5 Width
		= 10 × Width.
	The area	= Width × Length
		= Width × 4 × Width
		= 4 (Width)².
Option c is correct.

   

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