Question

What is the area of this figure?

Answer 1

5x5 = 25
(4x5)/2 = 10

25 + 10 = 35

answer: 35 cm^2

Answer 2

Area of a square(A) is given by:

`A = s^2`, where s is the side of the square.

Area of a triangle(A') is given by:

`A' = (1)/(2) \cdot b \cdot h`

From the given figure:

Labelled the diagram shown below.

In a triangle ABC:

BC = 5 cm and FA =4 cm

then;

`\text{A'} = (1)/(2) \cdot \text{BC} \cdot \text{FA}`

Substitute the given values we have;

`A' = (1)/(2) \cdot 5 \cdot 4 =5 \cdot 2= 10 cm^2`

Now, find the area of square BCDE:

Side of the square BCDE (s)= 5 cm

then;

`A = (5)^2 = 25 cm^2`

Then the area of the given composite figure :

`A+A' = 25+10 = 35 cm^2`

Therefore, the area of the given figure is,
`35 cm^2`