# Maths

A house plan shows a scale of 1:25. If the rectangular lounge room of the house is to measure 4 metres by 6 metres, what will the area of the lounge room be on the plan?

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1. The model had measurement of
4/25 m by 6/25m
= .16 m by .24 m
= 16 cm by 24 cm

area = (16)(24) cm^2
= 384 cm^2

or
area of actual room
= 400 cm by 600 cm
area = 240000 cm^2
but areas are proportional to the square of the sides, so divide by 25^2 or 625
to get 384 cm^2

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