Question

What is the area of this figure?

Answer 1

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

25 + 10 = 35

answer: 35 cm^2

Answer 2

Answer:

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:

$A' = \frac{1}{2} \cdot b \cdot h$

From the given figure:

Labelled the diagram shown below.

In a triangle ABC:

BC = 5 cm and FA =4 cm

then;

$\text{A'} = \frac{1}{2} \cdot \text{BC} \cdot \text{FA}$

Substitute the given values we have;

$A' = \frac{1}{2} \cdot 5 \cdot 4 =5 \cdot 2= 10 cm^2$

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, $35 cm^2$