Question

what wpuld be the area of an actual pool be of the scale from the drawing is 3:1000? 15 cm7.5 will mark brainest

Answer 1

The scale from the drawing means ...

... drawing size : life size = 3 : 1000

This can be turned around to get ...

... life size : drawing size = 1000 : 3

I find this form more convenient to use in a proportion:

... actual length / drawing length = 1000 / 3

Multiplying by "drawing length", we get ...

... actual length = (drawing length)·(1000/3)

This will be true for both drawing lengths.

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... Pool length = (15 cm)·1000/3 = 5000 cm = 50 m

... Pool width = (7.5 cm)·(1000/3) = 2500 cm = 25 m

The area is the product of these dimensions:

... pool area = (50 m)·(25 m) = 1250 m²