Question

16

15. The dimensions of a triangle
with base 4 m and height
5 m are multiplied by 3. How
is the area affected?

Answer 1

It increases it by 9.

Explanation:

Given the following data;

Base = 4m

Height = 5m

Area of triangle = ½*base*height

Area of triangle = ½*4*5

Area of triangle = 2 * 5

Area of triangle = 10 m²

Multiplying the parameters by 3, we have;

Base = 4 * 3 = 12m

Height = 5 * 3 = 15m

To find the area of triangle;

Area of triangle = ½*base*height

Area of triangle = ½*12*15

Area of triangle = 6 * 15

Area of triangle = 90 m²

Therefore, multiplying the dimensions by a factor of 3 increases the area by 9.