math
posted by Sara .
The figure above consists of two equilateral triangles, one of which is inside the other. If the unshaded region within the larger triangle makes up 8/9 of that triangle's area, what is the ratio of the perimeter of the larger triangle to the perimeter of the smaller triangle?
( The figure looks like a smaller triangle (shaded) inscribed in a bigger triangle ( unshaded)

1/9 of the larger triangle's area is unshaded. That means the linear (edge) dimension of the smaller shaded triangle is 1/3 of the edge dimension of the larger triangle. The perimeters of the two triangles will also be in a large:small = 3:1 ratio.
Respond to this Question
Similar Questions

geometry
Theres a circle with an equilateral triangle in the middle. The traingles edges all touch the circle. The radius of the circle is 8 meters. How do I find the area of the triangle? 
Math
A pentagon is formed by putting together three identical equilateral triangles and one larger equilateral triangle with length of edge equal to 2 times that of the smaller equilateral triangle. If the perimeter of the smaller triangle … 
Math
the ratio of the corresponding side lengths of two triangles is 5 to 3. the perimeter of the larger triangle is 48m. What is the perimeter of the smaller triangle? 
Math Please Help
The premiters of two equilateral triangles are in the ratio 2:3. If the perimeter of the smaller triangle is 16 cm what is the measure of a side of the larger triangle? 
Math
An equilateral triangle s divided into 4 congruent equilateral triangles. What method can be used to find the area of the larger equilaterl triangle give the area of one of the smaller triangles? 
grade six math
Draw an equilateral triangle. Divide each side in half and join the points to make four small equilateral triangles. Rearrange these four equilateral triangles into a parallelogram. Compare the perimeter of the original triangle with … 
Algebra 1
So as I was doing me hw, I ran into this question, and I cant figure it out... Anyone wanna try? 
math
An equilateral triangle with a base of 20 cm and a height of 17.3 cm is divided into 4 smaller equilateral triangles. What is true about this figure? 
math
The figure below is not drawn to scale. The ratio of the triangle ABC to the area of triangle DEC to the area of the triangle FGH is 7:5:3. If 20% of the area of triangle DEC is shaded, what percentage of the figure is unshaded? 
Geometry
in two congruent triangles the ratio of lengths of two corresponding sides is 5:8. If the perimeter of the larger triangle is 10 ft less than twice the perimeter of the smaller triangle find the perimeter of each triangle