Answer:
The total area of the shape = 4 + 4 + 2 = 10 square units
Step-by-step explanation:
This shape consists of three shape parts.
- A right triangle with base 4 units and perpendicular 2 units at the right side.
- A square with the equal length and width i.e. 2 units. at the middle
- A right triangle with base 2 units and perpendicular 2 units at the left side
So, the total area of this shape is the sum of the areas of these shape parts.
1st Part) Finding the area of Right Triangle with base 4 units and perpendicular 2 units
A right triangle with base 4 units and perpendicular 2 units.
Let
'a' be perpendicular side = 2 units
'b' be the base side = 4 units
As
The area of right triangle
[tex]A=\frac{ab}{2}[/tex] ⇒ [tex]\frac{(4)(2)}{(2)}[/tex] = 4 square units
2nd Part) Finding the area of Square with the equal length and width i.e. 2 units
Let a be the length of any side = 2 units
As the area of square
[tex]A=a^{2} }[/tex]
[tex]A = (2)^{2}=4[/tex] square units
3rd Part) Finding the area of Right Triangle with base 2 units and perpendicular 2 units
A right triangle with base 2 units and perpendicular 2 units.
Let
'a' be perpendicular side = 2 units
'b' be the base side = 2 units
As
The area of right triangle
[tex]A=\frac{ab}{2}[/tex] ⇒ [tex]\frac{(2)(2)}{(2)}[/tex]= 2 square units
Therefore the total area of the shape will be the sum of area of Right Triangle with base 4 units and perpendicular 2 units, area of Square with the equal length and width i.e. 2 and area of Right Triangle with base 2 units and perpendicular 2 units
So,
The total area of the shape = 4 + 4 + 2 = 10 square units
Keywords: area of a shape, area of triangle, area of square
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