1. Warm Up: Pg. 146
On a park map, a picnic area is represented by a rectangle with coordinate (0,0) (0,4) (6,4) and (6,0). The park is going to be renovated and the picnic area will be half its size. How will this affect the area and perimeter of the picnic area?

2. Investigate: Pg. 149
Find the perimeter and area of the garden and answer the questions below it.

3. Complete Dimensional Changes Activity

4. Do you see a pattern between new perimeter and old perimeter
New Perimeter = Old Perimeter * SF
Do you see a pattern between new area and old area
New Area = Area* SF2

5. New Perimeter = Old Perimeter * SF
A rectangle with a width of 7 units and a length of 12 units is dilated using a scale factor of 3. What is the perimeter of the dilated rectangle?
New Perimeter = Old Perimeter * SF

6. New Perimeter = Old Perimeter * SF
A square with side length of 12 is dilated using a scale factor of ½. What is the perimeter of the dilated square?
New Perimeter = Old Perimeter * SF

7. A triangle with side lengths of 8, 12, and 16 is dilated using a scale factor of ¼. What is the perimeter of the dilated triangle?

8. Find the side length of the dilated square if the scale factor is 1 ½ .
Perimeter = 20cm

9. The following rectangles are similar. Find the length of segment BD?
Perimeter=20 cm D C
12 cm G
8cm H

10. Do you see a pattern between new area and old area
New Area = Old Area * SF2

12. A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches. Determine the area of the larger triangle.

13. A rectangular shaped flower garden has a length of 5 yards and an area of 15 square yards. A neighbor’s flower garden is similar and has a length of 7 yards. What is the area of the neighbor’s flower garden? Round your answer to the nearest whole number.

14. A rectangle has a side length of 3 feet and an area of 24 square feet
A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.

15. A regular hexagon has a side length of 2cm and area of 16 square cm
A regular hexagon has a side length of 2cm and area of 16 square cm. A similar hexagon has a corresponding side length of 5cm. Find the area of the larger hexagon?