Two triangle are similar. The side of one are three times as long as the sides of the other. What is the ratio of the areas of the smaller to the larger?

Correct  A₁ : A = 1 : 9

Step-by-step explanation:

Given:  a = 3 a₁

Side of the first triangle let be a and of the second a₁

Area of the first triangle let be A and of the second A₁

If the two triangles are similar then it is:

A₁ : A = a₁² : a²  

A₁ : A = a₁² : (3 a₁)² = a₁² : 9 a₁² = 1 : 9

A₁ : A = 1 : 9

God is with you!!!

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2