0
That's true for any rectangle, not just a square. Here's why:
The original area of any rectangle is (original length) times (original width).
When you double the dimensions, the new area is (2 x original length) times (2 x original width).
You learned a long time ago that when you're multiplying numbers, it doesn't make any
difference what order they're arranged in. So we'll take that formula for the new area,
and rearrange it in a different order:
(2 x original length) times (2 x original width) = (2 x 2) times (original length x original width).
The stuff inside the first parentheses multiplies to give the number ' 4 '.
The second parentheses enclose (original length x original width), and that's just
the original area. So the new area is (4) times (original area).
Quod erat demonstrandum.
Add your answer:
Earn +20 pts
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.
When you quadruple the dimensions of a rectangular prism the area is..?
almost non existent. Is someone playing with graphic design? That's to the ^16 isn't it?
What are the dimensions of a square with an area of 1m2?
That's very easy. The dimensions of a square with an area of A = 1 m² is 1 meter in length and 1 meter in width.
What is the area of a square with dimensions of 13cm?
13cm*13cm =169 square cm.
What are the dimensions of square that has the perimeter and the area equal in value?
The dimensions can be 4 units by 4 units
How does the perimeter and area of a square change when its dimensions change?
A 3 x 3 square has perimeter 12 and area 9 A 6 x 6 square has perimeter 24 and area 36 Double the dimensions, double the perimeter, quadruple the area. Mathematically, a square with side x has a perimeter of 4x and an area of x2 Doubled, a square with side 2x has a perimeter of 8x and an area of 4x2
When you double the dimensions of a figure how does this affect the area of the figure?
If you were to double both the width and the length, then the area would quadruple. It will be multiplied by a factor of four.I learned this in my 7th grade math class. (:
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.
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.
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.
What happens to the area of a circle when the radius is triple?
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.
What happens to the area of a circle when the radius is doubled tripled?
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.
A triangle has an area of 34cm squared If you double the base length and height of the triangle what will be the area of the triangle?
Doubling those two dimensions would quadruple the area. So new area = 4*34 cm2 = 136 cm2
If the area of a small pizza is 103 sq inches the large pizza dimensions are twice as big what is the area of the large pizza?
The diameter of a small pizza of 103 square inches is approximately 11.45 inches. If you double the diameter to 22.9 inches, the large pizza would be approx 412 square inches. In other words, if you double the dimensions, you quadruple the area. So, instead of dividing d by 2 to get r and then dealing with pi and squares and all that, all you really needed to do was multiply 103 times 4.
When you quadruple the dimensions of a rectangular prism the area is..?
almost non existent. Is someone playing with graphic design? That's to the ^16 isn't it?
If a seven inch pizza cost 4.00 and the price of the 14 inch is proportional to the cost of the seven inch how much would the fourteen inch pizza cost?
The area of the pizza inceases as the square of the radius (or diameter). Assuming the thickness remains the same, then the volume also increases as the square of the radius. So, double radius implies quadruple area implies quadruple cost.
What are the dimensions area of a 196 square feet?
14' square
