Answer: The answer is 20 units
Step-by-step explanation: The question stipulates that two figures have their sides in the ratio of 4:3.
This implies that for every side in the smaller figure, the corresponding side in the larger figure measures times 4/3 (that is, divided by 3 and then multiplied by 4)
Therefore if for example, one side in the smaller figure measures 9 units, then the corresponding side in the larger figure would measure
9 * 4/3.
However, if the corresponding side is represented by x for example, then
9/x = 3/4. (This makes the ratio of the left hand side equal to that on the right hand side)
By cross multiplication you now have
9(4) = 3x
36 = 3x
Divide both sides of the equation by 3, and you have
x equals 12.
Hence, if the perimeter of the smaller figure is 15 units, the perimeter of the larger figure would be calculated as
Perimeter of larger figure
15/x = 3/4
By cross multiplication you now have
15(4) = 3x
60 = 3x
Divide both sides of the equation by 3
20 = x
Therefore the perimeter of the larger figure is 20 units
