Question

The model of a ship is made to scale of 1:200.
(i) the length of the model is 4m. Calculate the actual length of the ship.
(ii) the area of the deck of the ship is 1,60,000 m².Find the area of the deck of the model.

Answer 1

length of the model 4m
given scale
1m model = 200m original length---(1)
actual length of the ship =4*200m=800m
2) Area of the deck = 160000m^2
=400m*400m
=(2*200m)*(2*200m)
=2*1m *(2*1m) from(1)
=4m^2in the model

Answer 2

According to the question scale is 1:200 or 1k:200k ( used k as a constant )

1) length of model = 4m (let's take it as 1k)
actual length = 4m x 200 k = 800 m

2) Area of actual ship = 1,60,000 (200k)
=> area of model = 160000 / 200k = 800 cm(square)