# Tag Archives: perimeter

## Four Congruent Rectangles

Four congruent rectangles are arranged as shown in the figure to form a large rectangle. The area of the large rectangle is . What is the area of a square that has the same perimeter as the large rectangle? Source: … Continue reading

## Length of Side of Square

If the numerical value of the area of a square plus two times the numerical value of its perimeter is equal to , what is the length of one side of the square? Source: NCTM Mathematics Teacher, September 2006 Solution … Continue reading

## Koch Snowflake

A Koch snowflake begins with an equilateral triangle with a side length of (stage 0). Trisect each side and attach a smaller equilateral triangle to the center of each side (stage 1). Repeat for each triangle to obtain stage 2. … Continue reading

## Isosceles Triangle

Isosceles triangle has a base of length units. is the altitude to the base, and is the midpoint of side . The triangular area is three square units. Find the perimeter of triangle . Source: NCTM Mathematics Teacher 2008 SOLUTION … Continue reading

## Equal Triangles

Two different triangles have the same area but different perimeters. Triangle has side lengths of and cm. Triangle has two sides with length of cm. Find the length of the third side of triangle . Round your answer to the nearest … Continue reading

## Parallelogram in Isosceles Triangle

The length of the base of an isosceles triangle is a quarter of its perimeter. From an arbitrary point on the base straight lines are drawn parallel to the sides of the triangle. How many times is the perimeter of … Continue reading

## Triangle ADE

Points A, B, C, and D are all on segment AD, in the order listed. Segment AB is congruent to segment CD. Segment BC equals 12 units in length. Also, an additional point E exists that is not on segment … Continue reading

## One Square Two Square

The perimeter of square one is 36 cm greater than the perimeter of square two. The area of square one is 243 square cm more than the area of square two. Find the area of the larger square. Source: mathcontest.olemiss.edu … Continue reading