2c/2, 3c/3, 4c/4, etc. Hope it help!
A) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.
b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.
c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.
d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
.. (40 m)^2 = 1600 m^2
.. (44 m)^2 = 1936 m^2 = 1.21*(1600 m^2), an increase of 21% over the original.
.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2
We have a large numer and using scientfic notation is a great way to break down the number. So let's break it down!
1,000 x 1 = 1,000
3 x 100 = 300
6 x 10 = 60
3 x 1 = 3
So the form for scientific notation is a x 10b and we need to convert it into decial form.
1,360 becomes 1.36 (forget the 0) for a. 10 b is 103
1.36 x 103. Notation will always have a square. Our b.
10^3
SO, now we have
1.36 x 10^3 = 1,360