The perimeters of two equilateral triangles are in the ratio 9:1 what is the ratio of their areas?

The ratio of their area is 81 : 1.

Step-by-step explanation:

Given,

The perimeter of two equilateral triangles is 9:1

To find the ratio of their areas.

Formula

If each side of a equilateral triangle is a then perimeter = 3a and area = a²

Now,

Perimeter of the 1st triangle is 9x

So, each side will be 3x

Again,

Perimeter of the 2nd triangle is x

So, each side will be

Now,

Area of the 1st triangle =(3x)²

Area of the 2nd triangle = ()²

Hence,

The ratio of their area = (3x)² :  

= 9x² :

= 81 : 1

Thus the obtained ration of the triangle is 81:1

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

answer: x=3 and y=4

step-by-step explanation: