Question

If both the base and height of a triangle are made one hundred times longer, how many times greater is the new area?

Answer 1

Area of triangle is given by:

\[Area = \frac{1}{2} \times Base \times Height\]

Now Base and Height are made 100 times longer that is : Base = 100 Base and Height = 100 Height then:

\[New \;\; Area = \frac{1}{2} \times (100 Base) \times (100 Height)\]
\[New \;\; Area = 10000 \times \color{blue}{\frac{1}{2} \times Base \times Height}\]

\[\color{green}{New \;\; Area = 10000 \times (Original \;\;Area)}\]

Answer 2

so it is ten thousand times more? @waterineyes

Answer 3

Yes it is..

Answer 4

thanks!

Answer 5

Welcome dear..