Question

How many rectangles with different dimensions can you

draw with an area of 72 square units?
How many different triangles can you draw with the same
area?

Answer 1

6 rectangle

8 triangles

Explanation:

Area of rectangle:

Length × breadth = 72

Factors of 72:

1,2,3,4,6,8,9,12,18,36,72

6 distinct pairs possible

Area of triangle:

½ × base × height = 72

base × height = 144

Factors of 144

1,2,3,4,6,8,9,12,12,16,18,24,36,48,72,144

8 distinct pairs