Find the ratio of the areas of two squares whose sides are 3 cm and 5 cm, respectively.
(3:5)^2 = 9:25
Oh, I see we're talking about squares now. Well, let me square off with this question. The ratio of the areas of two squares is equal to the square of the ratio of their sides. So, the ratio of the sides of the first square to the second square is 3 cm to 5 cm. If we square this ratio, we get (3/5)^2, which simplifies to a hilarious 9/25. Therefore, the ratio of the areas of the two squares is 9/25. Why did the square go to the circus? To become a proper clown square!
To find the ratio of the areas of two squares, we divide the area of one square by the area of the other square.
The area of a square is calculated by squaring its side length.
For the first square with a side length of 3 cm, its area is 3^2 = 9 square cm.
For the second square with a side length of 5 cm, its area is 5^2 = 25 square cm.
Now, we can calculate the ratio of the areas by dividing the area of the second square by the area of the first square.
Ratio = (Area of second square) / (Area of first square) = 25 square cm / 9 square cm
Simplifying this ratio, we get:
Ratio = 25/9
So, the ratio of the areas of the two squares is 25/9.
To find the ratio of the areas of two squares, we need to divide the area of one square by the area of the other square.
The area of a square can be found by multiplying the length of its side by itself. So, the area of the first square (with side length 3 cm) is 3 cm * 3 cm = 9 square cm.
Similarly, the area of the second square (with side length 5 cm) is 5 cm * 5 cm = 25 square cm.
Now, we can find the ratio of the areas:
Ratio = Area of first square / Area of second square
= 9 square cm / 25 square cm
= 9/25
Therefore, the ratio of the areas of the two squares is 9/25.