you have to figures that are similar, large one is 28yds, and the smaller one is 8yds. give the ratio of the perimeter and the ratio of the areas of the larger figure to the small one.
Can someone please help not just answer but explain
ratio perimeter= 7/2
ratio of area= 49/4
im guessing hes right
Sure, I'd be happy to help!
To find the ratio of the perimeters, you can simply divide the perimeter of the larger figure by the perimeter of the smaller figure. The perimeter is the sum of all the sides of a shape.
Perimeter of the larger figure: 28 yards
Perimeter of the smaller figure: 8 yards
Ratio of perimeters: 28 / 8 = 3.5
So, the ratio of the perimeters of the larger figure to the smaller figure is 3.5.
To find the ratio of the areas, you can square the ratio of the corresponding sides of the figures. Since the sides are in yards, we need to square the ratio of 28 yards to 8 yards.
Area of the larger figure: (28 yards)^2 = 784 square yards
Area of the smaller figure: (8 yards)^2 = 64 square yards
Ratio of areas: 784 / 64 = 12.25
So, the ratio of the areas of the larger figure to the smaller figure is 12.25.
In summary:
- The ratio of the perimeters is 3.5.
- The ratio of the areas is 12.25.
To find the ratio of the perimeters of two similar figures, we need to compare the corresponding side lengths.
In this case, the larger figure has a length of 28 yards, while the smaller figure has a length of 8 yards. Therefore, the ratio of their perimeters is:
Ratio of perimeters = (28 yards) / (8 yards) = 3.5
So, the ratio of the perimeters of the larger figure to the smaller figure is 3.5.
To find the ratio of the areas of two similar figures, we need to compare the corresponding side lengths squared, since area is a two-dimensional measure.
In this case, the ratio of the corresponding side lengths is:
Ratio of side lengths = (28 yards) / (8 yards) = 3.5
To find the ratio of the areas, we square this ratio:
Ratio of areas = (Ratio of side lengths)^2 = (3.5)^2 = 12.25
So, the ratio of the areas of the larger figure to the smaller figure is 12.25.
Sure! To find the ratio of the perimeters of two similar figures, we need to compare the corresponding sides. In this case, we have a larger figure with a length of 28 yards and a smaller figure with a length of 8 yards.
The ratio of the perimeters is equal to the ratio of the corresponding sides. So, the ratio of the perimeters can be calculated as 28/8.
Ratio of perimeters = (Length of larger figure) / (Length of smaller figure)
Ratio of perimeters = 28 / 8
Simplifying this ratio, we get:
Ratio of perimeters = 7/2
Therefore, the ratio of the perimeters of the larger figure to the smaller figure is 7:2.
Now, let's move on to finding the ratio of the areas of the larger figure to the smaller figure.
The ratio of the areas of two similar figures is determined by the square of the ratio of their corresponding sides.
Ratio of areas = (Length of larger figure / Length of smaller figure)^2
Ratio of areas = (28 / 8)^2
Simplifying this ratio, we get:
Ratio of areas = (7/2)^2
Ratio of areas = (7/2) * (7/2)
Ratio of areas = 49/4
Therefore, the ratio of the areas of the larger figure to the smaller figure is 49:4.
To summarize:
- The ratio of the perimeters of the larger figure to the smaller figure is 7:2.
- The ratio of the areas of the larger figure to the smaller figure is 49:4.