The scale factor for two similar rectangles is 3. if the area of the smaller rectangle is 8 m2, what is the area of the larger rectangle?
A- x=7,y=12
B- x=21,y=12
C- x=14,y=18
D- x=7,y=18******
I picked "d" am I correct?
The scale factor for two similar rectangles is 3. if the area of the smaller rectangle is 8 m2, what is the area of the larger rectangle?
A- 24m2
B-192m2
C-72m2*****
D-108m2
I put the wrong answers to the questions but theses are the right ones!
I picked C is this correct?
3^2 = 9
so
8 * 9 = 72 yes
Yes, you are correct.
To find the area of the larger rectangle, we need to use the scale factor. The scale factor represents how much the lengths of corresponding sides of the two rectangles have been multiplied by.
In this case, the scale factor is 3. This means that the lengths of the sides of the larger rectangle are 3 times the lengths of the corresponding sides of the smaller rectangle.
Since the area of the smaller rectangle is 8 m², we can write this relationship as:
(area of smaller rectangle) * (scale factor)² = (area of larger rectangle)
8 * 3² = (area of larger rectangle)
8 * 9 = (area of larger rectangle)
72 = (area of larger rectangle)
Therefore, the area of the larger rectangle is 72 m².
Out of the given options, option D (x=7,y=18) matches the correct area of the larger rectangle, which is 72 m². Thus, you are correct.