Question

All the dimensions of a triangle were multiple by the same factor. If the base of the triangle went from 1 centimeter to 3 centimeters, the area of the triangle was multiple by what?

6
3
9
12

Answer 1

the area is multiplied by 9.

Step by Step Explanation:

Let x be the base

Let y be the height

Since all dimensions were multiplied by the same number, 3,

Original area,

1/2 × x × y = (1/2)xy

New area,

1/2 × 3x × 3y = (1/2)(9)xy

Hence, area is multiplied 9 times.