Question

A and B are similar, If the perimeter of A is 51cm. Find the perimeter of B.(English isn't my native language. Please correct me if I have any grammatical mistakes.)

Answer 1

The perimeter of B is 153 cm.

Explanation:

Given two similar shapes and:

• The internal diameter of A = 6 cm

,

• The internal diameter of B = 18 cm

The ratio of the perimeters of two similar shapes is equal to the ratio of the length of corresponding sides.

`\begin{gathered} \frac{\text{ Internal Diameter of A}}{\text{ Internal Diameter of B}}=\frac{\text{ Perimeter of A}}{\text{ Perimeter of B}} \\ (6)/(18)=\frac{51}{\text{ Perimeter of B}} \end{gathered}`

We solve for the perimeter of B.

`\begin{gathered} (6)/(6*3)=(51)/(x) \\ (1)/(3)=(51)/(x) \\ x=51*3 \\ x=153\text{ cm} \end{gathered}`

The perimeter of B is 153 cm.