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If the length of a square is doubled how is the area affected?
The Area of a square can be written as it's side length^2, orA = s^2if the side length is doubled, then s' is 2s.A' = (s')^2A' = (2s)^2A' = 4s^2 = 4*AWhen the side length is doubled, the area increases by a factor of 4
What happens to the volume of a box when the length width and height are doubled?
The volume of the box will be multiplied byeight.
If the length of a rectangle is doubled and its height quadrupled how is its area changed?
Its area is now eight times greater than its original size. If area = L x H, then 2(L) x (4)H = 8 (original area)
How does doubling the side lengths of a triangle affect its perimeter?
If the length of each side is doubled, then the perimeter is also doubled.
What happens to the area of a circle if the diameter is quadrupled?
If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).
