Let A1 be the area of the first square and X the length of its side
Let A2 be the area of the second square and Y the length of its side
A1 = X2 , A2 = Y2 , A1/A2 = X2/Y2 , Square Root (A1/A2) = Square Root ( X2/Y2),
X/Y = Square Root (A1/A2) = Square Root (2/1) = 1.414
interesting
Squares are people with no life. Parallelograms have two sets of sides that are each parallell to the respective opposite side. People do not have two sets of sides, nor are humanic sides parallel. Therfore, a square is not similar/congruent/equal to a parallelogram.
Yes and No, all squares will have the same internal angels (90 degrees) making them similar, but dimensions of squares can be different (how long the sides are).
The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)
If the lengths are in the ratio 3:5, then the surface areas are in the ratio 9:25.
1:2
The ratio is 16 to 81.
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.
I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.
Let a represent the scale factor of the two squares. Then it follows that the ratio of the areas is a^2. If these are equal, you get the equation a = a^2, and this is only true for a=0 or a=1. However, the only applicable value for a here is 1. In short, yes, they can, but only if both the scale factor and the ratio of the areas are equal to 1 (i.e. the squares are congruent)
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
False: Ratio areas= 16 : 64 = 1 : 4 Ratio of sides = sqrt(ratio of areas) = 1 : 2
ratio of areas = (ratio of sides)² ratio of sides = 3 : 5 → ratio of areas = 3³ : 5² = 9 : 25 → area larger = 81 m² ÷ 9 × 25 = 225 m²
Well, squares do have equal sides but rectangles have two pairs of equal sides
The square of the hypoentuse is equal to the sum of the squares of the other two sides.
8.
Areas are proportional to the square of corresponding sides. Therefore, in this case: * Divide 144 by 36. * Take the square root of the result. That will give you the ratio of the corresponding sides.