Question

These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know please.

Answer 1

The area of 36 units is larger

Answer 2

The area of the larger is 36 units^2

Explanation:

The scale factor is 6/3 = 2

When we work with areas, it is scale factor squared

scale factor ^2 = area of larger / area of smaller

2^2 = area of larger / 9

4 =area of larger / 9

Multiply each side by 9

4*9 = 36

The area of the larger is 36 units^2