A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, how much larger is the second rectangle's area?
They have the same area.
3 times as large
6 times as large
9 times as large
anonymous
 one year ago
Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, how much larger is the second rectangle's area? They have the same area. 3 times as large 6 times as large 9 times as large

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440519170756:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Notice the figure above. In it a segment is 1 inch long, and a segment is 4 inches long. The right segment is 4 times the length of the left segment. Below you have squares. The left square is 1 inch by 1 inch. Its area is 1 square inch. On the right, the square is 4 inches by 4 inches. Its are is 16 square inches. Notice that the side is 4 times longer, but the area id 16 times larger. 16 is the same as 4^2. When a side of a polygon increases by 4 times, the area increases by 4^2 times. In general. if the scale factor between the sides of similar polygons is k, then the scale factor of the areas is k^2. If you do it for the volumes, you'll see the scale factor of the volumes is k^3.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Did you read anything I wrote? At least read this part again: "When a side of a polygon increases by 4 times, the area increases by 4^2 times. In general. if the scale factor between the sides of similar polygons is k, then the scale factor of the areas is k^2."

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. If the scale factor of the sides is k, the scale factor of the areas is k^2. If the scale factor of the sides is 3, the scale factor of the areas is 3^2. What is 3^2? 3^2 = 3 * 3 = ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Notice that the height was 3 and became 9, Since 9/3 = 3, the scale factor of the heights is 3. If the scale factor of the sides is 3, the scale factor of the areas is 3^2.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. Answer is D.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.