[The narrator reads out the onscreen text.]

NARRATOR: Question three. The length of a rectangular paddock is 4 times the width of the rectangular paddock. Which of the following represents the perimeter and area of the paddock in terms of the width of the paddock?

[1. Perimeter equals 10 times width. Area equals Length times width. 2. Perimeter equals 5 times width. Area equals 4 times width squared. 3. Perimeter equals 10 times width. Area equals 4 times width squared. 4. Perimeter equals 5 times width. Area equals width squared divided by 4.]

NARRATOR: We first must consider the paddock and its dimensions. We know the paddock to be rectangular.

[A rectangle is drawn onscreen and its length and width are marked.]

NARRATOR: And we know if we define this length as the width of the paddock, then the length is equal to 4 times the width, which also makes this length the width and this length 4 times the width, given that the shape is a rectangle. So if we consider the perimeter of this shape, we know that perimeter is found by finding the sum of the length of the sides. So we have 1 times the width along this way, and 4 times the width along the top. And another 1 times the width down this side and another 4 times the width along the bottom. So altogether we have 1 plus 4 - which is 5 - plus another 1 - which is 6 - plus another 4, which is 10 lots of the width. So the perimeter is equal to 10 times the width. Area is equal to length times width, and in this case, the length is equal to 4 times the width. So we can see that the area of this rectangle would be given by the width multiplied by 4 times the width. So here we have 4 times the width times the width which is 4 times the width squared. We previously saw that the perimeter was equal to 10 times the width and the area is equal to 4 times the width squared. So given the options available, we see that our solution matches with the third option - Perimeter is equal to 10 times width. Area is equal 4 times width squared.