the base of the great pyramid is a square with an area of 571536 ft squared. If one of the sides of a similar figure is 5 cm what is the area of the figure?
How can I solve this?
The only figure similar to a square is another square. If the side of the square is 5cm, then the area is length times width, which would be 5 * 5 since all sides of a square are equal. So what's 5 * 5?? And don't forget to write cm squared after.
this symbol * means multiply, I saw it on a a computer
5p + 28 = 88 -p
Hey Kate the anwser to your question is 25cm squared
To solve this problem, we can use the concept of similarity between two figures.
Similar figures have the same shape but can be of different sizes. When two figures are similar, their corresponding sides are proportional. In your question, the two figures are similar because the given side lengths are proportional to each other.
Let's start by finding the scale factor between the two figures. To do this, divide the corresponding side lengths of the two figures:
Scale factor = (Side length of the larger figure) / (Side length of the smaller figure)
In this case, the side length of the larger figure is the base of the Great Pyramid, which has an area of 571536 ft^2. We are given that one of the sides of the smaller figure is 5 cm.
To find the scale factor, convert the side lengths to the same units. Since we are given the side length of the smaller figure in centimeters, we need to convert the area of the larger figure to square centimeters.
1 square foot = 929.03 square centimeters (approximately)
Area of the larger figure in square centimeters = 571536 ft^2 * 929.03 cm^2/ft^2
Now that both side lengths are in centimeters, we can calculate the scale factor:
Scale factor = (571536 ft^2 * 929.03 cm^2/ft^2) / (5 cm)
Once we have the scale factor, we can use it to find the area of the smaller figure. Since the area of a figure is proportional to the square of the scale factor, multiply the square of the scale factor by the area of the larger figure:
Area of the smaller figure = (Scale factor)^2 * Area of the larger figure
By substituting the values we found, we can calculate the area of the smaller figure.