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The area of similar figures is proportional to the square of any linear measurement. (And all linear measurements are directly proportional.) Thus, if the ratio of the perimeters is 5/4, the ratios of the lengths of sides is also 5/4. The ratio of the areas, on the other hand, is (5/4)2, so you can simply multiply the area of the smaller square by this factor.

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How many squares can you make with twelve matches?

five. four smaller squares in a 2x2 formation, which then make up a larger square.


How many squares are in a square with 25 squares?

In a square with 25 smaller squares arranged in a 5x5 grid, there are a total of 55 squares. This includes the 25 individual smaller squares, the 16 squares formed by combining 4 smaller squares, the 9 squares formed by combining 9 smaller squares, the 4 squares formed by combining 16 smaller squares, and the 1 square formed by combining all 25 smaller squares.


How can I divide a square with an area of 144 square inches into 12 equal sized squares if it is possible?

You cannot. If you are dividing any square into equal sized squares, then the number of these smaller squares must be a square number.


How many 5 inch squares are in 36 inch square?

There are 144 five-inch squares in a 36-inch square. You can calculate this by dividing the area of the larger square (36 * 36 = 1296 square inches) by the area of the smaller square (5 * 5 = 25 square inches) to determine how many small squares can fit inside the larger square.


What are two different size squares that the ratio of their perimeters is the same as the ratio of their areas?

Assume square A with side a; square B with side b. Perimeter of A is 4a; area of A is a2. Perimeter of B is 4b; area of B is b2. Given the ratio of the perimeters equals the ratio of the areas, then 4a/4b = a2/b2; a/b = a2/b2 By cross-multiplication we get: ab2 = a2b Dividing both sides by ab we get: b = a This tells us that squares whose ratio of their perimeters equals the ratio of their areas have equal-length sides. (Side a of Square A = side b of Square B.) This appears to show, if not prove, that there are not two different-size squares meeting the condition.

Related Questions

The ratio of the perimeters of two similar squares is 5 to 4. If the area of the smaller square is 32 Square Units what is the area of the larger square?

50


Do square represent perimiter?

No, squares do not represent perimeters.


How many times larger is the area of the larger square in comparison to the smaller square?

If the length of each side of the bigger squares is x times the length of the side of the smaller square, then the area of the bigger square is x2 times the area of the smaller square.


How many squares are in a square with sixteen squares?

In a square made up of sixteen smaller squares, there are a total of 30 squares. This includes the one large square, the sixteen smaller squares, nine squares formed by combining four smaller squares, and four squares formed by combining nine smaller squares. Each of these squares contributes to the total count of 30 squares within the larger square.


How many squares can you make with twelve matches?

five. four smaller squares in a 2x2 formation, which then make up a larger square.


How many squares are in a square with 25 squares?

In a square with 25 smaller squares arranged in a 5x5 grid, there are a total of 55 squares. This includes the 25 individual smaller squares, the 16 squares formed by combining 4 smaller squares, the 9 squares formed by combining 9 smaller squares, the 4 squares formed by combining 16 smaller squares, and the 1 square formed by combining all 25 smaller squares.


What happens if a squares perimeter is 16.4 what is the size of the rest of the perimeters?

If a square's perimeter is 16.4 - it's sides are 4.1


How many seconds on EKG paper does each large block of 5 small squares represent?

The larger square is 0.2 seconds and the smaller squares are 0.04 seconds!


How do you make 2 squares using 10 matches?

__ __ | | __ __ | | __ __ hope u can see that. :S * * * * * Not easy to see. In any case, it gives two rectangles, not two squares. What you need is a 2x2 square and in one of its corners, a 1x1 square.


What figure has 24 squares?

A Square which has been divided up into 24 smaller squares.


The sum of two numbers is 24 find the numbers whose squares are to be minimum?

12 and 12, whose squares will be 144 each. If either of the numbers is smaller than 12, then the other will be larger than 12 and its square will be larger than 144.


How can I divide a square with an area of 144 square inches into 12 equal sized squares if it is possible?

You cannot. If you are dividing any square into equal sized squares, then the number of these smaller squares must be a square number.