Minttheglitchidn
Answered

Find answers to your most challenging questions with the help of IDNLearn.com's experts. Whether it's a simple query or a complex problem, our community has the answers you need.

Use the scale factor to find the area of the enlarged figure. Explain your steps.


A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

  area = length · width

  area = (8)(4) = 32 . . . . square units

The scale factor is ...

  scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

  (32 units^2)(3.2^2) = 327.68 units^2

_____

Additional comment

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

  length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

Kmarshall63idn

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.