Question

Help me thank you, and explain!

Answer 1

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

$A=\frac{ab}{2}$ ⇒ $\frac{(4)(2)}{(2)}$ = 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

$A=a^{2} }$

$A = (2)^{2}=4$ 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

$A=\frac{ab}{2}$ ⇒ $\frac{(2)(2)}{(2)}$= 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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