Question

If The base and altitude of a triangle are doubled, whats happens to The area?

Answer 1

The are of a triangle is find by the equation by using the equation:

Area = 1/2bh

Where b = base and h = height

Now lets say the b and height are doubled. This means base doubled = 2b and height doubled = 2h. Substitute into the area formula:

A = 1/2(2b)(2h)
In the equation everything is being multiplied so simplfy the 2 times 2 which is 4:

A = 1/2(4bh)

So rewrite it as follows:

A = 4(1/2bh)

Conclusions:
Area of original triangle = 1/2bh
Area of triangle when base and height are doubled = 4(1/2bh)

Therefore when the base and height are doubled the area is QUADRIPPLED