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? (1 point)24m2
192m2
72m2
108m2
A
C
D
A
A
D
B
D
D
C
100% right for Ratios of Similar Figures Quiz if you go to connexus
area scales by the square of the linear scale.
So, the area is scaled by 3^2 = 9, so 72m^2
so is it 72???
72
dxu;ibwcbwec is 100% right
dxu;ibwcbwec is right!!! thank you so much!!!
You guys are no help.
Could you help me with this...
To find the area of the larger rectangle, we need to use the scale factor.
The scale factor is the ratio of corresponding sides of similar figures. In this case, the scale factor is 3, which means that the corresponding sides of the larger rectangle are 3 times as long as the corresponding sides of the smaller rectangle.
Since the area of a rectangle is determined by multiplying its length by its width, the ratio of the areas of two similar rectangles is equal to the square of the scale factor.
Let's call the area of the larger rectangle A1 and the area of the smaller rectangle A2. We know that A2 is 8 m2 and the scale factor is 3.
So, we can set up the following equation:
A1 / A2 = (scale factor)^2
Substituting the values, we get:
A1 / 8 = 3^2
A1 / 8 = 9
To find A1, we multiply both sides of the equation by 8:
A1 = 8 * 9
A1 = 72
Therefore, the area of the larger rectangle is 72 m2.
Answer: 72m2