two figures are similar. the ratio of the corresponding dimensions 3:4. the perimeter of the larger figure is 60 units.what will be the perimiter of the smaller figure
let the perimeter of the smaller be x
x/60 = 3/4
x = (3/4)(60) = 45
To find the perimeter of the smaller figure, we need to use the fact that the ratio of corresponding dimensions is 3:4. Let's say the corresponding dimensions of the smaller figure are 3x and 4x units.
Since the perimeter is the sum of all the sides of a figure, we can use the ratio of the corresponding dimensions to find the ratio of the perimeters.
For similar figures, the ratio of the perimeters is equal to the ratio of their corresponding sides. In this case, the ratio of the perimeters would be 3:4.
We know that the perimeter of the larger figure is 60 units. So, we can set up the following equation:
(Perimeter of larger figure) / (Perimeter of smaller figure) = (larger corresponding side) / (smaller corresponding side)
Using the given information, we get:
60 / (Perimeter of smaller figure) = 4 / 3
To solve for the perimeter of the smaller figure, we can cross-multiply:
(Perimeter of smaller figure) = (60 * 3) / 4
(Perimeter of smaller figure) = 45 units
Therefore, the perimeter of the smaller figure is 45 units.