Question

question
rectangles u and v are similar. if the area of rectangle u is 40, what is the area of rectangle v?
rectangle u
area = 40
8
rectangle v
4.8
answer attempt 1 out of 2

Explanation:

Step1: Find the scale factor

The corresponding sides of similar rectangles U and V are 8 and 4.8. The scale factor \( k \) from U to V is \( \frac{4.8}{8} = 0.6 \).

Step2: Find the ratio of areas

For similar figures, the ratio of areas is the square of the scale factor. So the ratio of the area of V to U is \( k^2=(0.6)^2 = 0.36 \).

Step3: Calculate the area of V

The area of U is 40, so the area of V is \( 40\times0.36 = 14.4 \).

Answer:

14.4