Question

if two similar rectangles have a side ration of 1:5 and the area of the smaller rectangle is 12 square meters what is the area of the larger rectangleArea Scale Factor:Area of a larger rectangle:

Answer 1

Step-by-step explanation:

From the information given,

scale factor of the similar rectangles is 1:5

This means that the ratio of their corresponding lengths = 1/5

Thus, the ratio of their corresponding areas = (1/5)^2 = 1/25

The area scale factor is 1/25

If the area of the smaller rectangle is 12 square meters,

it means that

small area/larger area = 1/25

12/larger area = 1/25

By cross multiplying,

larger area = 25 x 12

large area = 300 square meters