Question 902111
the area is increased by the square of the increase in the dimensions.


this means that, if the dimensions are increased by a factor of 2, then the area is increased by a factor of 2^2 = 4.


working backward, if the area is increased by a factor of 4, then the dimensions are increased by a factor of sqrt(4) = 2.


in your problem, the area was increased by a factor of 2.


using the rule shown above, this means that the dimensions must be increased by a factor of sqrt(2).


let's see if this rule holds.


your original area is 10 * 25 = 250 square units.


you multiply the area by a factor of 2 which means your new area is 500 square units.


you need to multiply your dimensions by a factor of sqrt(2) if the rule holds.


you will get:


10*sqrt(2)*25*sqrt(2) = 10*25*sqrt(2)*sqrt(2)= 10*25*2 = 500.


the rule works.


your solution is that each dimension must be multiplied by a factor of sqrt(2).