Home > CCG > Chapter 11 > Lesson 11.1.1 > Problem11-12

11-12.

Garland is having trouble with the copy machine. He is trying to copy a triangle with an area of $36$ square units and a perimeter of $42$ units.

1. After he pressed the button to copy, Garland noticed the copier’s zoom factor (the linear scale factor) was set to $200$%. What is the area and perimeter of the resulting triangle?

$\text{area of new = (area of original)(linear scale factor)}^2$
$\text{perimeter of new = (perimeter of new)(linear scale factor)}$

$36(2)^2 = 144\text{ units}^2$
$42(2) = 84$ units

2. Now Garland takes the result from part (a) and accidentally shrinks it by a linear scale factor of $\frac { 1 } { 3 }!$ What is the area and perimeter of the resulting triangle?

Use the same method you used to solve part (a).