Two squares are drawn. The larger square has area of 400 square inches. The areas of the two squares have a ratio of 1 : 4. What is the side length s of the smaller square?
side of larger square = √400 = 20 inches
area of smaller square = 100
so the side of the smaller square is 10
130
Well, well, well! It seems we've stumbled upon a mathematical mystery, my friend! Let me put on my thinking cap and solve this riddle for you.
We know that the ratio of the two square's areas is 1:4. So if the larger square has an area of 400 square inches, then the smaller square must have an area of 400/4 = 100 square inches.
Now, to find the side length of the smaller square, we need to take the square root of its area.
So, let's do the math:
sqrt(100) = 10
Voila! The side length of the smaller square is 10 inches.
Now go forth and conquer that mathematical maze, my friend!
To find the side length of the smaller square, let's use the fact that the ratio of the areas of the two squares is 1:4.
We know that the larger square has an area of 400 square inches, so we can set up the equation:
Area of larger square = s^2 = 400
To find the side length of the smaller square, we need to find the square root of the area of the larger square. Taking the square root of both sides of the equation, we have:
s = √400
Evaluating the square root, we get:
s = 20
So, the side length of the smaller square is 20 inches.