Ratio of Areas

Vocab

Similar Perimeters

Perimeters and Areas

Similar Areas

100

Rectangle A has a side length of 7 in. Rectangle B has a side of 12 in. What is the ratio of the areas?

49:144

100

What are similar figures?

Similar figures are two figures that have the same shape, but not necessarily the same size.

100

Figure A has a side length of 3 cm. Figure B has a side length of 8 cm. What is the ratio of the perimeter?

3:8

100

The scale factor of two regular octagons is 5 : 2. Find the ratio of their perimeters and the ratio of their areas.

Ratio of perimeters is 5 : 2 ; Ratio of areas is 25 : 4

100

The area of the smaller regular pentagon is about 27.5cm^{2 }^{ }. What is the best approximation for the area of the larger regular pentagon. Triangle A base is 4cm and Triangle B base is 10cm.

172cm^{2}

200

Figure A has a height of 5 cm. Figure B has a height of 9 cm. What is the ratio of the areas?

25:81

200

What is area?

Area is a measure of how much space there is on a flat surface.

200

Triangle A has a side length of 6. Triangle B has a side length of 10. What is the ratio of the perimeter?

6:10

200

Find the ratio of perimeters and the ratio of areas, if the scale factor of two similar triangles is 2.3 : 4.5.

Ratio of perimeters is 2.3 : 4.5 ; Ratio of areas is 5.29 : 20.25

200

The area of a triangle is 13.4cm^{2}. what is the best approximation for the area of the larger triangle. Triangle A base is 3. Triangle B is 7.

72.95 or ~73

300

Rectangle A has a length of 3 in. Rectangle B has a side of 9 in. What is the ratio of the areas?

9:81

300

What is perimeter?

The perimeter is the length of the outline of a shape.

300

Square A has a side length of 8. Square B has a side length of 15. What is the ratio of the perimeter?

8:15

300

Determine the ratio of perimeters and the ratio of areas, if the scale factor of square M to square N is 9 : 7.

Ratio of perimeters is 9 : 7 ; Ratio of areas is 81 : 49

300

The area of a square is 8.16cm^{2}. what is the best approximation for the area of the larger square. Square A base is 10. Square B base is 15

18.36

400

Figure A has a side length of 8 cm. Figure B has a side length of 16 cm. What is the ratio of the area?

64:256

400

What is similar area?

When the ratio of the areas is equal to the square of the ratio of their corresponding side lengths.

400

Figure 1 has a side length of 28. Figure 2 has a side length of 47. What is the ratio of the perimeter?

28:47

400

Gina decorates the stairway with a couple of art paintings of similar shape. If the scale factor of art paintings is 3 : 5.2, determine the ratio of their perimeters and the ratio of their areas.

Ratio of perimeters is 3 : 5.2 ; Ratio of areas is 9 : 27.04

400

The area of a rhombus is 42.1cm^{2}. what is the best approximation for the area of the larger rhombus. Rhombus A is 2. Rhombus B 8.

673.6