Question

Consider two people where one person is 20​% taller than the other but proportioned in exactly the same way.​ (That is, the taller person looks like a larger version of the shorter​ person.) Suppose the shorter person has a 36​-inch waist. What size is the taller​ person's waist?

Answer 1

The taller person's waist size is 43.2 inches

Solution:

As given in the question, if 2 people are equal in proportion, then the taller person has 20% taller or larger waist than the smaller person in any given dimension. This means that, the taller person’s waist would be 120 % of the smaller person.

Hence, we multiply 1.2 (120%) with 36 inches (waist size of shorter person) which gives the waist size of the taller person as 43.2 inches.

36\times (1.2) = 43.2 inches.

Answer 2

43.2in

Explanation:

If the two people are equally proportional, then knowing the size of the waist of one of them, we gonna we be able to know the other's wais size, by the relation.

36in*(1*20%) = 36in*1.2 = 43.2in