Examples with solutions for Area of a Triangle: How many times does the shape fit inside of another shape?

Exercise #1

How many times does the triangle fit completely inside of the square?

3.53.53.53.53.53.5777

Video Solution

Answer

8

Exercise #2

Given a rectangle ABCD which separated into a trapezoid and a right triangle

AB=12 KC=8 BC=4

How many triangles identical to the yellow triangle are needed to complete the given trapezoid?

121212444888AAAKKKBBBCCCDDD

Answer

5

Exercise #3

Given a rectangle ABCD that was separated into a trapezoid and a right triangle.

DC=14 AD=5 KB=4

How many triangles identical to the yellow triangle are needed to complete the given trapezoid?

141414555444AAAKKKCCCDDDBBB

Video Solution

Answer

6

Exercise #4

Given the rectangle ABCD which was separated into a trapezoid and a right triangle

AB=16 KC=14 BC=6

How many triangles identical to the yellow triangle are needed to complete the given trapezoid?

141414161616666CCCKKKAAABBBDDD

Video Solution

Answer

15

Exercise #5

Rectangle ABCD is separated into a trapezoid (AKCD) and a right triangle (KBC).

DC = 14 cm

AD = 5 cm

KB = 4 cm

How many triangles identical to triangle KBC are needed to create the trapezoid AKCD?

141414555444AAABBBCCCDDDKKK

Video Solution

Answer

6

Exercise #6

How many times does the triangle fit inside the rectangle?

555333101010

Video Solution

Answer

4

Exercise #7

How many times does the triangle fit in the trapezoid?

333333333333333666333

Video Solution

Answer

3