Posted by **Cindy** on Friday, April 13, 2007 at 5:42pm.

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 is 42 cm, what is the perimeter of the pentagon?

i need help setting up an equation for this problem

let each side of the smaller triangles be x

then the length of the larger triangle is 2x

place 2 of the smaller triangles along a side of the larger, the third of the smaller fits between the two other small ones.

"If the perimeter of the smaller triangle is 42 cm" -----> 3x=42 so

x=14

now "walk" around the perimeter of the pentagon, I see x+x+x+2x+2x

do you follow that?

## Answer This Question

## Related Questions

- Math - An equilateral triangle s divided into 4 congruent equilateral triangles...
- geometry - f equilateral triangle JKL is cut by three lines as shown above to ...
- math - The figure above consists of two equilateral triangles, one of which is ...
- Physics - An equilateral triangle initially has side length equal to 17 cm. Each...
- math - The perimeter of a square piece of land is twice the perimeter of an ...
- grade six math - Draw an equilateral triangle. Divide each side in half and join...
- Math Please Help - The premiters of two equilateral triangles are in the ratio 2...
- Maths - An equilateral triangle with side length 33 is divided into 33^2 smaller...
- Maths - An equilateral triangle with side length 33 is divided into 33^2 smaller...
- Geometry - Can anybody help me with this word problem? A homeowner, who loves ...

More Related Questions