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10-4 Perimeter and Area

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10-4 Perimeter and Area

1. 1. Essential Understanding You can use ratios to compare the perimeters and areas of similar figures Students will be able to find the perimeters and areas of similar figures
2. 2. Perimeters and Areas of Similar Figures If the scale factor of two similar figures is a/b, then  The ratio of their perimeters is a/b  The ratio of their areas is a2/b2
3. 3. Finding Ratios Two similar polygons have corresponding sides in the ratio 5:7 What is the ratio (larger to smaller) of their perimeters? What is the ratio (larger to smaller) of their areas?
4. 4. Finding Area The scale factor of two similar parallelograms is ¾. The area of the larger parallelogram is 96 in2. What is the area of the smaller parallelogram?
5. 5. Finding Area The area of the smaller regular hexagon is about 127.3 ft2. What is the best approximation for the area of the larger regular hexagon?
6. 6. Applying Area The scale factor of the dimensions of two similar pieces of window glass is 3:5. The smaller piece costs \$2.50. How much should the larger piece cost?
7. 7. Applying Area
8. 8. Finding Perimeter The areas of two similar rectangles are 1875 ft2 and 135 ft2. What is the ratio of their perimeters?
9. 9. Perimeter
10. 10. Homework Pg. 638 # 9 – 18, 20 – 28 even, 46 16 problems