Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. what is the value of the ratio (new to original) of the perimeters? the areas?

the ratio of the perimeters is

the ratio of the areas is

Part a) The ratio of the perimeters is

Part b) The ratio of the areas is

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

we have

substitute

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

we have

substitute

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg