The following figure is made of


triangles and

rectangle.
A 5 sided figure split into 4 sections by dashed lines. Section A is a right triangle with a base of 10 units and a height of 4 units. Section B is a right triangle with a base of 2 units and a height of 2 units. Section C is a square with side lengths of 2 units. Section D is a right triangle with a base of 6 units and a height of 2 units.






A 5 sided figure split into 4 sections by dashed lines. Section A is a right triangle with a base of 10 units and a height of 4 units. Section B is a right triangle with a base of 2 units and a height of 2 units. Section C is a square with side lengths of 2 units. Section D is a right triangle with a base of 6 units and a height of 2 units.
Find the area of each part of the figure and the whole figure.
Figure Area (square units)
Triangle A
Triangle B

Rectangle C

Triangle D
Whole figure

1 answer

Triangle A: (1/2) * base * height = (1/2) * 10 * 4 = 20 square units

Triangle B: (1/2) * base * height = (1/2) * 2 * 2 = 2 square units

Square C: side * side = 2 * 2 = 4 square units

Rectangle D: base * height = 6 * 2 = 12 square units

Whole figure: 20 + 2 + 4 + 12 = 38 square units