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Q: If the area of the square is increased by 69 percent how much the length of the side will increase?
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If the length of each side of the square is increased by 10 percent by what percent does the area of the square increased?

10


If the sides of a square are increased by twenty percent by what percent does the area of the square increase?

By 44%. Here is how you calculate it: 20% increase is equivalent to an increase by a factor of 1.2 (100% + 20%, converted to decimal). Square that, and you get 1.44 (44% more than the original).


Is the length of a side of a square and its area nonlinear?

I assume you mean the relationship between the length and the area. Indeed, it is non-linear. The increase in area is proportional to the square of the length of the side. For example, if the length of the side is increased by a factor of 10, the area is NOT increased by a factor of 10, but by a factor of 100.


How many times is the period of the pendulum increased or decreased when its length is increased four times?

Time period is directly proportional to the square root of the length So as we increase the length four times then period would increase by ./4 times ie 2 times.


How many square centimeters does the area increase if the length and width of a rectangle with a perimeter of 62 are each increased by 2 centimeters how do you solve this?

66


How much percent of the side should be increased so that the area of the square should increase 800 percent?

200%. Careful here! An 800% increase is equivalent to multiplying by 9 - NOT 8. So the sides need to be multiplied by sqrt(9) = 3. That is an increase of 200%


When an error of 1 percent is made in the length of a square the percentage error in the area of square will be?

The percentage error in the area of the square will be twice the percentage error in the length of the square. This is because the error in the length affects both the length and width of the square, resulting in a compounded effect on the area. Therefore, if there is a 1 percent error in the length, the percentage error in the area would be 2 percent.


If the area is increased by 69 then how much the side of the square will increase?

Each side will increase by the square root of 69 (approx. 8.3).


If the surface area of a sphere is increased by a factor of 4 what is the change in the length of the radius of the sphere?

The area of a sphere is A=4*3.14 * r^2. Thus the area varies as the square of the radius. If the surface area is increased by a factor of 4, then the radius will have to increase by the square root of 4 which is 2.


If kinetic energy is increased by 60 percent then momentum will be?

increased by 60 percent as well. Momentum is directly proportional to kinetic energy when mass is constant according to the equation p = √(2mEk), where p is momentum, m is mass, and Ek is kinetic energy.


Suppose the length and width of rectangle is 40 percent more is area also 40 percent more?

No. The change of the area is the square of the change of the length and width.If the length and width are 40% more, they got multiplied by 1.4 .So the area got multiplied by (1.4)2 = 1.96 . That's an increase of 96% .


What happen to the time period if its lenght of the pendulum is changed?

The time period of a pendulum is directly proportional to the square root of its length. If the length of the pendulum is increased, the time period will also increase. Conversely, if the length is decreased, the time period will decrease.