Question
An artist advertises an enlarged model of a scorpionfly. The scale of the model to the original is 36:1 , and the model has an enlarged width of 1170 millimeters. Assuming these measurements are accurate, how wide was the original scorpionfly, in millimeters? square
Solution
4.2
(186 Votos)
Gladys
Profissional · Tutor por 6 anos
Resposta
To find the width of the original sc factor is 36:1, which means that every 36 millimeters in the model corresponds to 1 millimeter in the original scorpionfly.Given:- Enlarged width of the model = 1170 millimeters- Scale factor = 36:1We can set up a proportion to find the width of the original scorpionfly:
Let
be the width of the original scorpionfly. Then we have:
To solve for
, we can cross-multiply:
Now, divide both sides by 36:
Simplify the fraction:
Therefore, the width of the original scorpionfly was 32.5 millimeters.