Girard makes soccer balls that are made of many regular pentagons (5 sides) on the sphere surface. Each side of the pentagon is 4.5 cm. He also makes a smaller version that uses pentagons that are 3.2 cm on each side.1) What is the ENLARGEMENT scale factor of the large pentagon from the smaller pentagon? (Small is the original with the large being the scale diagram)(Round to TWO decimal places with no units in the answer box 1.)2) What is the scale factor of the perimeter of the large pentagon from the perimeter of the small pentagon? (Small is the original with the large being the scale diagram)(Round to TWO decimal places with no units in the answer box 2.)
Question
Girard makes soccer balls that are made of many regular pentagons (5 sides) on the sphere surface. Each side of the pentagon is 4.5 cm. He also makes a smaller version that uses pentagons that are 3.2 cm on each side.1) What is the ENLARGEMENT scale factor of the large pentagon from the smaller pentagon? (Small is the original with the large being the scale diagram)(Round to TWO decimal places with no units in the answer box 1.)2) What is the scale factor of the perimeter of the large pentagon from the perimeter of the small pentagon? (Small is the original with the large being the scale diagram)(Round to TWO decimal places with no units in the answer box 2.)
Solution
- The enlargement scale factor of the large pentagon from the smaller pentagon is calculated by dividing the side length of the large pentagon by the side length of the smaller pentagon.
So, the scale factor is 4.5 cm / 3.2 cm = 1.41 (rounded to two decimal places).
- The scale factor of the perimeter of the large pentagon from the perimeter of the small pentagon is the same as the scale factor of their sides. This is because the perimeter is the sum of all sides, and if each side of the large pentagon is 1.41 times larger than each side of the small pentagon, then the total perimeter will also be 1.41 times larger.
So, the scale factor of the perimeter is also 1.41 (rounded to two decimal places).
Similar Questions
2. The ratio of the perimeters of two similar triangles is 3/5. The scale factor is ________
The radius of a regular pentagon is 11 m. What is the length of its apothem?
This shape is a regular pentagon.Question promptWhat is the size of angle ?Question response areaSelect one option36°60°72°108°
The smaller polygon is not similar to the larger polygon.The smaller polygon could be similar to the larger polygon with a scale factor of 15.6.The smaller polygon could be similar to the larger polygon with a scale factor of 0.4.Clear my choice◄ Lesson 6.2 Scale DiagramsJump to...Lesson 6.3 Scale Factors and Areas of 2-D Shapes ►Skip Quiz navigationQuiz navigationQuestion1Question2Question3This pageQuestion4Question5Finish attempt ...You are logged in as Nicholas Walsh (Log out)SWDLCMF20 V22Data retention summary
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale. a and b and c and d and
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.