Question

The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of ∆ABC. The expression that gives the perimeter of ∆XYZ is . If the area of ∆ABC is n square units, the area of ∆XYZ is square units.

Answer 1

The expression that gives the perimeter of △ XYZ is 130r. If the area of △ ABC is n square units, the area of △ XYZ is
`n * r^2` square units.

Perimeter: Imagine stretching each side of △ABC by a factor of r, like inflating a balloon.

This blows up the original perimeter of 30+40+60 units into a grander 130r units

Area: But wait, there's more! Scaling up doesn't just extend the borders; it amplifies the interior too. Think of spreading a sheet of paint across the enlarged △XYZ. The area, originally n square units in △ABC, gets a
`r^2`boost, ballooning to a spacious
`n * r^2` square units!

Therefore, △XYZ boasts a majestic perimeter of 130r and an area where
`n * r^2` reigns supreme.

Question:-

The sides of △ ABC are 30 units, 40 units, and 60 units long. The corresponding sides of △ XYZ are r times as long as the sides of △ ABC. The expression that gives the perimeter of △ XYZ is ____. If the area of △ ABC is n square units, the area of △ XYZ is _____ square units.