Question

The side length of each square is 6 units. Find the areas of the inscribed shapes.

Answer 1

By using subtraction of yellow areas from the entire squares, the areas of the inscribed shapes are listed below:

1. 18 units
2. 20 units
3. 12 units
4. 12 units

How to calculate the areas of the inscribed shapes

The areas of the inscribed shapes can be easily found by subtracting the yellow areas from the square, in order to find the value of green areas. Now we proceed to find the result for each case by using area formulae for triangles:

Case A

A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)

A = 36 - 18

A = 18 units

Case B

A = 6² - 4 · 0.5 · (2) · (4)

A = 36 - 16

A = 20 units

Case C

A = 6² - 0.5 · 6² - 0.5 · 6 · 2

A = 36 - 18 - 6

A = 12 units

Case D

A = 6² - 2 · 0.5 · 6 · 4

A = 36 - 24

A = 12 units

To learn more on inscribed areas: brainly.com/question/22964077

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