The scale factor for two similar rectangles is 3. If the area of the smaller rectangle is 8m^2, what is the area of the larger rectangle?
A. 24m^2
B. 192m^2
C. 72m^2
D. 108m^2
3^2 is nine then you take the nine and multiply it by eight and get 72 so the answer is C) 72 m²
Your welcome
I think the answer is b
Nope. What is 8 * 3^2
How ever did you decide on B?
The ratio of a larger rectangle to a smaller rectangle is 2:1. If the perimeter of the smaller rectangle is 15 ft, what is the perimeter of the larger rectangle?
To find the area of the larger rectangle, we can use the concept of scale factors. In this case, the scale factor is 3.
The scale factor is the ratio of corresponding sides of two similar figures. Since the scale factor is 3, it means that every side of the smaller rectangle is multiplied by 3 to get the corresponding side of the larger rectangle.
If the area of the smaller rectangle is 8m^2, we can set up a proportion to find the area of the larger rectangle.
Let the area of the larger rectangle be x. The proportion would be:
(area of smaller rectangle) / (area of larger rectangle) = (side of smaller rectangle)^2 / (side of larger rectangle)^2
So, we have:
8 / x = 3^2 / 1^2
Simplifying the proportion:
8 / x = 9 / 1
Cross-multiplying:
8 * 1 = 9 * x
8 = 9x
Now, solve for x:
x = 8 / 9
Therefore, the area of the larger rectangle is 8 / 9 square units.
None of the given options match this answer, so the correct option is not listed.