Question

Square X is similar to square Y. The scale factor from square X to square Y is 2.5. The area of square X is 25 cm². What is the area of square Y?

Answer 1

The area of square Y is 156.25 cm².

Step-by-step explanation:

To find the area of square Y, we need to use the scale factor to determine its dimensions. The scale factor is 2.5, which means the side length of square Y is 2.5 times the side length of square X. Since the area of square X is 25 cm², we can calculate the side length of square X by taking the square root of 25, which is 5 cm. Therefore, the side length of square Y is 5 cm * 2.5 = 12.5 cm. The area of square Y is then calculated by squaring its side length: 12.5 cm * 12.5 cm = 156.25 cm².

Answer 2

if scale factor is 2.5 then ratio of the areas = 1:2.5^2 = 1 : 6.25, so:-

Area of square Y = 25 * 6.25 = 156.25