A Square With An Area Of A2 Is Enlarged To A Square With An Area Of 25A2. How Was The Side Of The Smaller Square Changed? The Side Length Was Increased By 5. The Side Length Was Multiplied By 5. The Side Length Was Increased By 10. The Side Length Was Multiplied By 10.

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A Square With An Area Of A2 Is Enlarged To A Square With An Area Of 25A2. How Was The Side Of The Smaller Square Changed? The Side Length Was Increased By 5. The Side Length Was Multiplied By 5. The Side Length Was Increased By 10. The Side Length Was Multiplied By 10.. Therefore, to increase the area by a factor of 25, the side length must be increased by the square root of 25,. The enlarged square has an area of \ ( 25 a^2 \), which means its side length is \ ( \sqrt {25 a^2} = 5a \).

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A square with an area of a² is enlarged to a square with an area of 25a². The side length of the enlarged square with area $$25a^ {2}$$25a2 is $$\sqrt {25a^ {2}} = 5a$$25a2 =5a the side length was multiplied by 5 to change from the original square to the. Then find the side length of the smaller square and larger square using the formula and substitute the given values of the area to each corresponding square.

To Determine How The Side Of The Smaller Square Was Changed, We Need To Compare The Side Lengths Of The Two Squares.


Area = (1a)² = a². Now, comparing the two side lengths, the side of the larger square (5a). The side length of the smaller square was multiplied by 5 when its area increased from a2 to 25a2.

Therefore, To Increase The Area By A Factor Of 25, The Side Length Must Be Increased By The Square Root Of 25,.


A square with an area of a² is enlarged to a square with an area of 25a². The area of a square is given by the side length squared. The enlarged square has an area of \ ( 25 a^2 \), which means its side length is \ ( \sqrt {25 a^2} = 5a \).

This Is Because The Area Of A Square Is Calculated By Squaring The Side Length.


Step 2 when the square is enlarged to a square with an area of 25a^2 25a2, we need to find the new side length. See different methods and examples of solving this problem. To determine how the side of the smaller square was changed to become a larger square with a different area, we will analyze the relationship between the areas of the two squares and their.

The Side Length Was Multiplied By 5.


Since the area of a square is the square of its side length, we take the square. Learn how to calculate the scale factor of the side length of a square when its area is increased by a given factor. The correct answer is b.

Then Find The Side Length Of The Smaller Square And Larger Square Using The Formula And Substitute The Given Values Of The Area To Each Corresponding Square.


The side length of the enlarged square with area $$25a^ {2}$$25a2 is $$\sqrt {25a^ {2}} = 5a$$25a2 =5a the side length was multiplied by 5 to change from the original square to the. The side length of the smaller square was changed when t he side length was multiplied by 5.

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