math/geometry
posted by katie .
the area of one triangle is 9dm^2 and its perimeter is 4x4. The area of a similar triangle is 4dm^2 and its perimeter is 2x+6. Find the perimeter of each triangle.

math/geometry 
drwls
For similar triangles, the ratio of the perimeters must be the square root of the ratio of areas, which is (in this case) sqrt(9/4) = 3/2
Therefore 4x4 = (3/2)(2x + 6) = 3x + 9
x = 13
The perimeter of the larger triangle is therefore 4x4 = 48 dm. That of the smaller is 2x + 6 = 32 dm 
math/geometry 
yd9syfIDSHF
cvcxvvix
Respond to this Question
Similar Questions

PreAlgebra
A triangle is enlarged by a scale factor of 10/3. a) If the perimeter of the copy is 36 meters, find the perimeter of the original triangle using the proportion 10/3. b) If the area of the copied triangle is 48 meters squared, use … 
geometry
The perimeter of a triangle, its area, and the radius of the circle inscribed in the triangle are related in an interesting way. Prove that the radius of the circle times the perimeter of the triangle equals twice the area of the triangle. 
Math
There's a triangle the numbers on each sides are 22 25 and 11 What is it's perimeter and area? 
geometry
Large triangle (30¢X, 60¢X, and 90¢X), the base is 15 feet. and small triangle (30¢X, 60¢X, and 90¢X) the above two triangle the ratio of the perimeter of the large triangle to the perimeter of the small triangle is ¡Ô3. Determine … 
geometry
Large triangle (30¢X, 60¢X, and 90¢X), the base is 15 feet. and small triangle (30¢X, 60¢X, and 90¢X) the above two triangle the ratio of the perimeter of the large triangle to the perimeter of the small triangle is ¡Ô3. Determine … 
math
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 … 
Math Help!!!
Triangle A and triangle B are similar. The perimeter of trianlge A is 15 m and the perimeter of triangle B is 30 m. What is the ration of the perimeter of triangle B to the perimeter of triangle A? 
Geometry
The lengths of the sides of a triangle are 6 cm, 7 cm and 9 cm. In a similar triangle whose perimeter is 110 cm, what is the length of the longest side, in centimeters? 
geometry
In the accompanying diagram, triangle ABCis similar to triangle DEF, AC = 6, AB = BC = 12, and DF = 8. Find the perimeter of triangle DEF. it an isoslese triangle 6 and 8 are both base my work 6+2=8 12+2=14 2(14)+6=p … 
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