The pentagons below are similar. The area of the smaller pentagon is 30m^2. What is the area of the larger pentagon in m^2?
Small pentagon is 4m and the larger one is 10m
ratio of sides = 5/2
ratio of areas = (5/2)^2 = 25/4
25/4 * 30 = 187.5
The pentagons below are similar the area of the smaller pentagon is 30 m what is the area of the larger pentagon larger pentagon is 12 m
Since the pentagons are similar, the ratio of their corresponding sides is equal to the scale factor of their areas.
Ratio of sides = 12/4 = 3
Therefore, the ratio of their areas is 3² = 9.
Area of larger pentagon = 9 * 30 = 270 m².
The figures below are similar what is the ratio of perimeters and the ratio of areas of the larger figure to the smaller one the figures are not drawing the scale 10 yd and 8 yd
Without knowing the shape of the figures, we cannot determine the exact ratios of perimeters and areas. However, we can determine the ratio of their corresponding sides based on the given information:
Ratio of sides = 10/8 = 5/4
Therefore, the ratio of perimeters is also 5/4, since perimeter is a linear function of the length of the sides.
The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides. In this case, the ratio of areas would be (10/8)² = 1.5625. So, the larger figure is approximately 1.5625 times the area of the smaller one.
Prime 5/4 area 25/16
I'm sorry, I'm not sure what you mean by "Prime 5/4 area 25/16". Can you please provide more information or context so I can better understand your question and provide an accurate response?
The biggest blower similar what is the ratio of the perimeter and the ratio of the area of the larger figure to the smaller one the figures are not drawn to scale 10 yd, 8yd
A. perimeter 5/4 area 49/4
B. Perimeter 25/16 area 5/4
C. Perimeter 49/4 area 5/4
D. Perimeter 5/4 area 25/16
Since the given lengths of 10 yd and 8 yd correspond to the sides of two similar figures, we can use those lengths to find the ratio of their perimeters and the ratio of their areas.
Ratio of perimeters = (perimeter of larger figure)/(perimeter of smaller figure) = (10+8+10+8+10)/(8+8+8+8+8) = 46/40 = 23/20
Ratio of areas = (area of larger figure)/(area of smaller figure) = (10*10)/(8*8) = 100/64 = 25/16
Therefore, the correct answer is:
D. Perimeter 5/4 area 25/16