Finding Ratios of Perimeters and Areas of Similar Figures
1.
2. 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
3. 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
4. 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?
5. 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?
6. 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?
7. 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?