The length of a ship is $100$ m and the length of its model is $25 c m .$ The deck area in the model is $128 c m^{2} .$ Find the actual deck area.

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Solution

Length of ship = 100 m = 10000 cm
Length of model = 25 cm
Scale factor = $\frac{10000}{25}$ = 400
Area of model = 128 $c m^{2}$
Area of Ship = Area of model X scale
= $128 \times 400 \times 400$
= $20480000 c m^{2}$
= $2048 m^{2}$

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The length of a ship is 100 m and the length of its model is 25cm. The deck area in the model is 128cm2. Find the actual deck area.

Length of ship = 100 m = 10000 cmLength of model = 25 cmScale factor = 1000025 = 400Area of model = 128 cm2Area of Ship = Area of model X scale= 128×400×400= 20480000cm2= 2048m2

The length of a ship is $100$ m and the length of its model is $25 c m .$ The deck area in the model is $128 c m^{2} .$ Find the actual deck area.

Length of ship = 100 m = 10000 cm
Length of model = 25 cm
Scale factor = $\frac{10000}{25}$ = 400
Area of model = 128 $c m^{2}$
Area of Ship = Area of model X scale
= $128 \times 400 \times 400$
= $20480000 c m^{2}$
= $2048 m^{2}$