The sides of ABC are 30 units, 40 units, and 60 units long. The corresponding sides of AXYZ are times as long as the sides of -

The expression that gives the perimeter of AXYZ is

square units

If the area of AABC is n square units, the area of AXYZ is

The expression that gives the perimeter of triangle XYZ is 130*r

The expression that gives the Area of ∆XYZ is n*r^2 units^2 ...

Step-by-step explanation:

Part A:

Perimeter of triangle ABC = 30+40+60

Perimeter of triangle ABC = 130 units

Triangle ABC = Triangle XYZ

Thus,

Scale factor = r

scale factor = Perimeter of triangle ABC / Perimeter of triangle XYZ

Perimeter of triangle XYZ = perimeter of triangle ABC * scale factor

Perimeter of triangle XYZ = 130 * r

The expression that gives the perimeter of triangle XYZ is 130*r

Part B:

Area of triangle ABC = n units^2

As we know that scale factor = r

scale factor^2 = Perimeter of triangle ABC / Perimeter of triangle XYZ

Perimeter of triangle XYZ = Perimeter of triangle ABC * scale factor^2

Perimeter of triangle XYZ = n*r^2 units^2

The expression that gives the Area of ∆XYZ is n*r^2 units^2 ...