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Why does the area of a triangle quadruple when the sides are doubled?
Wiki User
∙ 13y ago
Since the area is (length of base)*(height)/2 {call these dimensions B & H)
A1 = B*H/2
With dimensions doubled, A2 = (2*B)*(2*H)/2 = 4*B*H/2 = 4*A1.
By not simplifying to 2*B*H, it's easier to see that it is four times the original area.
It is 4 times because the two length dimensions are multiplied, and 2 * 2 = 4.
Wiki User
∙ 13y ago
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What is the area and perimeter of a triangle if its dimensions are doubled?
Area is quadrupled (*4) and perimeter is doubled.
What happens to the area of a triangle when the base is doubled and the height remains the same?
The area gets doubled.
What happens if the base of a triangle is doubled?
If the altitude is not changed, the area would be doubled.
If the height and the base of a triangle are doubled what happens to the area?
If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .
What is the effect on the area of a triangle if the base is doubled and the height in cut in half?
you can cut a triangle directly
If the sides of a triangle are doubled then the area becomes?
If the sides of a triangle are doubled then the area becomes quadrupled (four times as large).
How does the area of a rectangle change when its dimensions are doubled?
the area should double also Answer 2 The area will quadruple. Imagine a square with sides 1 x 1. If you doubled the length of the sides you'd have a square of 2 x 2. You'd be able to get four 1 x 1 squares inside that.
If the base and height of a triangle are doubled how is its area changed?
The area is multiplied by 4, not doubled.
What is the area and perimeter of a triangle if its dimensions are doubled?
Area is quadrupled (*4) and perimeter is doubled.
How does the area of a triangle change when the height is doubled?
If the base stays the same, the area is also doubled.
What happens to the area of a triangle when the base is doubled and the height remains the same?
The area gets doubled.
If the height of a triangle is doubled how does the area change?
The area of the triangle would double
What happens if the base of a triangle is doubled?
If the altitude is not changed, the area would be doubled.
How does the area of a rectangle change when its dimensions change?
the area should double also Answer 2 The area will quadruple. Imagine a square with sides 1 x 1. If you doubled the length of the sides you'd have a square of 2 x 2. You'd be able to get four 1 x 1 squares inside that.
If the height and the base of a triangle are doubled what happens to the area?
If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .
If the base of a triangle is doubled and height is halved its area will be?
The exact same as the original triangle.
Why does the volume quadruple when the radius of a cylinder is doubled?
The volume is Base x height; the Base area is the same as the formula for a circle - which is proportional to the square of the radius. For example, if you double the radius (or the diameter, or the circumference) of a circle, its area will quadruple.
