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.
<em><u>1st Part) Finding the area of Right Triangle with base 4 units and perpendicular 2 units</u></em>
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
⇒
= 4 square units
<u><em>2nd Part) Finding the area of Square with the equal length and width i.e. 2 units</em></u>
Let a be the length of any side = 2 units
As the area of square
![A=a^{2} }](https://tex.z-dn.net/?f=A%3Da%5E%7B2%7D%20%7D)
square units
<em><u>3rd Part) Finding the area of Right Triangle with base 2 units and perpendicular 2 units</u></em>
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
⇒
= 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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