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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?
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∙ 11y ago
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Wiki User
∙ 11y ago
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Do square represent perimiter?
No, squares do not represent perimeters.
How do you solve the ratio perimeters of two smaller squares is 5 to 4 if the area of the smaller square is 32 square units what is the area of the larger square?
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.
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
What figure has 24 squares?
A Square which has been divided up into 24 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.
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.
Are a square yard and a square foot similar?
Yes, they're both squares.
A square snakes and ladders board has 100 squares and a diagonal length of 35cm Find the lengthof sideof one of the smaller squares?
The length of each side of the smaller squares is 2.475 cm
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 can you make with twelve matches?
five. four smaller squares in a 2x2 formation, which then make up a larger square.
An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?
If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
How many squares are in a 2 by 2 grid?
There are 5 squares in a 2 by 2 grid if the large square enclosing all four smaller squares is included in the count.
