Luke says that the scale factor relating two figures is 0.6. Paula says the scale factor is 5/3. If Paula is correct, explain why Luke is incorrect.

Explanation:

Start by converting the decimal number, 0.6, to a fraction:

As you see, the scale factor stated by Luke is just the inverse of that stated by Paula, 5/3.

If Paula is correct, it means that Luke related the figures on the opposite direction. This is, Paula correctly  stated the ratio of the bigger figure to the smaller one, 5 : 3, while, Luke, incorrectly, stated the ratio of the smaller figure to the bigger one.

452,489 to the nearest thousand is 452,000

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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