If the height and base of a triangle are doubled, what 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 QUADRUPLED

Answer 2

The area after doubling the height and base of a triangle becomes 4 times the original area.
Area = 1/2 b*h
Area after doubling = 1/2 *2b*2h
= 4(1/2 b*h)
= 4(original area)

Answer 3

The area increases by a factor of 4, look at this

Area original = base * height / 2

for the original one, while for the doubled base and height

Area2 = (2 base) * (2 height) / 2 = 4 base * height / 2 = 4 (Area original)

I hope this helps you

Answer 4

The original area is 1/2bh
If we double both of them,
the new area is 1/2(2b)(2h) = 2bh.
This is 4 times the original area.

Answer 5

It is quadrupled.

2*2 = 4

Answer 6

If the dimensions of any shape are doubled, its area quadruples.

Answer 7

If you double both you will quadruple the area.

A =0.5 (2b)(2h)
= 4(0.5bh)