if an object is 410 feet long and 70 feet tall how tall is a similar object that is 2.05 feet long

Question

if a painting is 410 feet long and 70 feet tall and a similar reproduction is 2.05 feet long how tall is it ?

Answer 1

For similar objects, their corresponding dimensions are proportional to each other in which the ratios are equal to the scaling factor.

 

let x=the height of the similar object.

 

Hence, the equation becomes:

 

410/2.05=70/x  Cross multiply.

 

410x=2.05(70)

410x=143.5 divide both sides of the equation by 410

 

x=143.5/410=0.35 feet  Therefore the similar object is 0.35 feet tall.