Question

$Amodelofshipismadetoascaleof1:80.Find:\left(i\right)Thelengthoftheship,ifthelengthofitsmodelis1.2m.\left(ii\right)Theareaofthedeckoftheship,iftheareaofthedeckofitsmodelis1.2m^2.$

• A. 96m, 8680 m²
• B. 86m, 7680 m²
• C. 96m, 7680 m²
• D. 90m, 7680 m²

Answer 1

The correct option is C

96m, 7680 m²

$k=\frac{1}{80}\left(i\right)lengthofmodelktimeslengthofactualship1.2m=\frac{1}{80}\times lengthofactualshipLengthofship=(1.2\times 80)m=96m\left(ii\right)areaofdeckinmodel=k^{2}timesareaofactualdeck1.2m^2={\left(\frac{1}{80}\right)}^{2}Timesareaofactualdeck.Areaofactualdeck=80\times 80\times 1.2m^2=7680m^2$